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mbpt: closed-shell Kramers (time-reversal) CC tracer (round 2) - #566

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mbpt: closed-shell Kramers (time-reversal) CC tracer (round 2)#566
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Summary

Adds a closed-shell Kramers (time-reversal-symmetry) tracer for relativistic
2-/4-component coupled cluster to mbpt, plus the eval-layer CSE fix needed to
evaluate the complex tensors it produces. This is the "round-2" rebuild of the
Kramers tracer: a small, self-contained API that mirrors the existing spin
tracer in structure but folds Kramers configurations under time reversal instead
of applying Ms conservation.

The tracer takes an all-spinor (Kramers-free) closed-shell expression and emits a
sum over time-reversal-canonical Kramers-block representatives, each with the
{sign, conjugation, permutation} transform that reconstructs the remaining
blocks. A consumer (here, MPQC's CCk / SpinorMP2) evaluates one representative
block per symmetry orbit and fills the rest from the transforms, so the
relativistic residual is computed on a reduced set of unique blocks (doubles:
16 → 5).

All numerics are validated downstream in MPQC against the full-spinor
("spinorbital") oracle: MP2, CCD, CCSD, and CCSDT all reproduce the spinor
energy
(e.g. HSeOH/6-31G X2C: CCD 2.6e-11, frozen CCSDT 2.1e-10). The unit
tests here cover the symbolic structure (orbit counts, fold classes,
reconstruction transforms).

What's added

SeQuant/domain/mbpt/spinor.{hpp,cpp} — the tracer and its orbit machinery:

API Role
closed_shell_kramers_trace(expr, ext_groups, fold_T, expand_g) Energy tracer: 2ⁿ Kramers configs, no Ms filter, global-T (conjugate) pairs folded to 2 Re[...].
closed_shell_kramers_CC_trace(expr, expand_g, use_T) CC residual tracer: A-expands the leading antisymmetrizer Â, folds external Kramers configs under the rank-general external antisymmetry + T. Returns one Kramers-labeled block per external representative.
kramers_config_orbits(n, bit_perms, use_T) Orbits of n-bit configs under bit-permutation generators + global time reversal (the orbit primitive).
kramers_external_generators(rank) The shared external-antisymmetry generator set (Sₖ adjacent transpositions of each external group) — single source used by the tracer, the amplitude allocator, and the leaf reconstruction.
kramers_external_blocks(n, antisym_perms, use_T, symm_perms) Like kramers_config_orbits but each member carries its reconstruction transform block(cfg) = sign·[conj]·permute(block(canonical)).
has_antisymmetrizer(expr) Predicate to route a residual (has Â) vs a fully-contracted energy (no Â).
RealPart / ImagPart (+ real_part / imaginary_part) Symbolic markers for the 2 Re fold; symbolic-only (no native TN evaluation yet — see below).

SeQuant/core/eval/eval_node_compare.hpp — split CSE cache keys by
canon_phase. For complex/Kramers tensors whose leaf value is reconstructed
downstream, two contractions can share a canonical colored graph yet evaluate to
genuinely different (not merely sign-flipped) tensors; without this they
over-merge under CSE and reuse the wrong intermediate. The split only ever
separates cache entries (never merges), so it is correctness-preserving and
real closed-shell paths (all phase +1) are unaffected.

tests/unit/test_spinor.cpp — orbit counts and reconstruction transforms:
MP2-energy fold, rank-general external folds (ranks 1/2/3), CCD R2 → 5 labeled
blocks, internal-fold classes (pp-ladder, ring, separable T2² quad), and the
kramers_external_blocks reconstruction transforms (antisymmetric residual and
raw-g forms). Build glue in CMakeLists.txt / tests/unit/CMakeLists.txt.

Known limitations / follow-ups

  • BraKetSymmetry::Conjugate is not yet exploited by TensorNetworkV3. The
    eval_node_compare canon_phase split is the interim correctness measure; the
    faithful fix is to carry conjugation through canonicalization (TODO noted in
    the header). This is the keystone for the planned next step — teaching the
    canonicalizer time-reversal symmetry so the downstream reconstruction machinery
    dissolves.
  • No native Re()/Im() evaluation of a tensor network — the tracer emits
    RealPart/ImagPart markers and the consumer either honors them or uses the
    fold_T=false form (sum the complex blocks, take the real part).
  • Hermiticity (bra↔ket + conj) folding is deferred; the global-T fold is the one
    applied here.

Testing

  • tests/unit/test_spinor.cpp — symbolic structure (orbit counts, fold classes,
    reconstruction transforms).
  • End-to-end numerical validation lives in the consuming MPQC branch
    (SpinorMP2 / CCk): Kramers-restricted MP2/CCD/CCSD/CCSDT all match the
    full-spinor energy to the SCF/precision floor.

Add spinor.{hpp,cpp}: a Kramers tracer for closed-shell relativistic
(2-/4-component) theories, structured like the naive spin tracer
spintrace_impl but folding whole-config time-reversal (T) partners into
RealPart-wrapped representatives inline. Reuses the Spin quantum number as
the Kramers label (alpha=up, beta=down); expands the integral g while
keeping the amplitude t antisymmetric; leaves particle-interchange (sigma)
to canonicalize. Also adds symbolic RealPart/ImagPart Expr markers.

External-index antisymmetry, hermiticity, and the per-column internal-T-reach
are deferred (CC phase).

test_spinor.cpp: traces the MP2 energy 1/4 g-bar t-bar into 7 canonical
Re[g.t-bar] representatives whose outer coefficients sum to 2^n.
…lic)

Extend spinor.{hpp,cpp} toward Kramers-restricted CCSD (symbolic phase):

- kramers_config_orbits: rank-agnostic n-bit configuration orbits under a set
  of bit-permutation generators + optional global time reversal T (the fold
  engine).
- closed_shell_kramers_CC_trace: stages 1-2 of the CCSD pipeline. Factor out
  the antisymmetrizer  (its bra/ket give the external virt/occ groups), fold
  the external indices (rank-general S_k transpositions + T) into the
  symmetry-unique blocks, and fold the internal contracted indices (enumerate
  + sum, sigma-merge via canonicalize). A-expand, g-expansion and the g TRS
  folds (stages 3-5), and the internal-T-reach, are deferred.
- kramers_external_blocks: per-member sign/conj/perm reconstruction transforms
  (compute the canonical block, fill the rest) -- the eval-time external
  reconstruction (notes' open item).

Validated symbolically (test_spinor.cpp): singles/doubles/triples external
folds (2/5/8 blocks); CCD driver/pp-ladder/ring/quad internal folds
(5 blocks; 3/4/9 internal classes -- the quad's 9-vs-10 noted); reconstruction
transforms (perm/conj<->config invariant, T-pair signs).
Add an optional symm_perms argument (sign +1 permutation generators, default
none) alongside antisym_perms (sign -1), so the eval-time external
reconstruction also covers a raw, non-antisymmetrized g leaf: it folds under
particle interchange sigma (a symmetry, sign +1) + T into 6 blocks, vs the
antisymmetric residual's {P_ab, P_ij} + T into 5. Tested (test_spinor.cpp): the
{sigma} + T case yields 6 blocks with the sigma members carrying sign +1.
Thin public wrapper over the file-local find_antisymmetrizer, so a caller (the
CC spintrace dispatch) can distinguish a residual equation (carries a leading Â)
from a fully contracted scalar (the energy, no Â) and route each to the right
Kramers tracer.
- closed_shell_kramers_CC_trace: fold each residual term over its OWN contracted
  indices, not the whole block over the union of all terms' internals. A term
  invariant under an index (e.g. the driver, which has no internal index) was
  over-counted 2^k. Only surfaces on the full multi-term R2 — the unit tests feed
  single terms, so single-term behavior is unchanged (114 [spinor] assertions
  still pass).
- closed_shell_kramers_trace: add fold_T (default true). With fold_T=false, emit
  every configuration (sigma-merged) verbatim with no RealPart wrapper — the
  complex config sum whose real part the caller takes — for evaluators that
  cannot evaluate Re() of a tensor network (the CCk energy observable).
When expand_g=false, the integral g is kept antisymmetric (ḡ) instead of
expanded to the level-1 raw-g form, so the evaluator fetches the factory [as]
block and the cross-Kramers antisymmetry is handled inside the integral. The CCk
energy path uses expand_g=false; g-expansion (level-1) remains the default and a
later optimization stage. Default expand_g=true preserves SpinorMP2 behavior.
The CCSD Kramers trace now A-expands the antisymmetrizer  (expand_A_op) into
explicit signed external permutations, so the full external antisymmetry —
cross-Kramers pairs included — is explicit per term. The earlier strip-Â +
within-block bitwise form could not antisymmetrize cross-Kramers t-dependent
terms (a post-hoc block sign only flips, it does not antisymmetrize).

Adds two flags: expand_g (expand each ḡ to raw NonSymm leaves so the evaluator
fetches raw ⟨..|..⟩ blocks instead of the factory [as] block, which omits the
cross-Kramers swap for mixed-Kramers pairs) and use_T (fold external configs
under global time reversal; default on).
The eval-node CSE identity (the canonical colored connectivity graph) is value-
invariant for ordinary tensors but not for complex tensors whose leaf value is
reconstructed downstream (e.g. relativistic Kramers t-amplitudes via an external
recon): two contractions can share a canonical graph yet evaluate to genuinely
different (NOT merely sign-flipped) tensors, surfacing as a +1/-1 canon_phase
collision. Keying canon_phase into the eval-node equality splits those apart.
This only ever splits cache entries (never merges), so it is correctness-
preserving; real closed-shell paths (all phase +1) are unaffected and lose no CSE.

Interim hack. TODO: replace with a faithful conjugation-aware eval-node identity
once TensorNetworkV3 exploits BraKetSymmetry::Conjugate (carry the conjugation
through canonicalization, the way canon_phase carries the sign).
compose() composed the reconstruction perm in reversed order
(tx.perm[g_perm[k]] instead of g_perm[tx.perm[k]]) for the convention
block(cfg)[v] = block(canon)[v_perm]. The two orders agree for the abelian
S1/S2 external groups of singles/doubles (all involutions), so CCD/CCSD were
unaffected, but differ for the non-abelian S3+ groups of triples and higher,
where 3-cycles reconstructed to the wrong tensor. Validated offline at ranks
1-4 against a fully antisymmetric + TRS reference (reversed order fails at
rank 3; this order passes to machine precision at every rank).
The S_rank adjacent-transposition generator set for the external Kramers fold
(virtual group [0,rank), occupied group [rank,2*rank)) was hand-built inline in
closed_shell_kramers_CC_trace and, MPQC-side, in two more places (the amplitude
allocator and the leaf reconstruction). Provide it as one shared helper and use
it in the tracer. Pure refactor.
@kshitij-05
kshitij-05 marked this pull request as draft June 30, 2026 16:28
kshitij-05 and others added 19 commits June 30, 2026 17:56
Orphaned when 7f69992 switched A-handling to expand_A_op; its only
references are its own definition and a self-recursive call, so it is
unused. clang -Wunneeded-internal-declaration (-Werror) in SeQuant's
unit build rejects it (the MPQC build that validated the branch uses
looser flags, so it slipped through).
Two eval nodes that share a canonical graph/leaf but differ in
antisymmetric-reorder parity evaluate to negatives of each other
(+T vs -T), so they must not share a CSE cache slot. This was enforced
by a special-cased canon_phase check in TreeNodeEqualityComparator,
flagged as a hack pending a "faithful" fix.

Make canon_phase a first-class part of the node identity: fold it into
EvalExpr::hash_value() (a no-op for real closed-shell paths, where every
phase is +1, so the equality structure is unchanged) and keep the
comparator check as the hash-collision guard. This retires the hack and
fixes silent CSE over-merging of complex/Kramers contractions
(Kramers-restricted CCD now matches the spinor reference).
Add an opt-in exploit_conjugate mode to TensorNetworkV3::canonicalize_slots
(threaded via CreateGraphOptions). When enabled, a BraKetSymmetry::Conjugate
tensor's bra and ket slots are colored identically (as for Symm), so its two
bra<->ket orientations fold onto one canonical graph; the accompanying
conjugation (T{bra;ket} = conj(T{ket;bra})) is recorded as a new
SlotCanonicalizationMetadata::conj byproduct, detected by comparing the
canonical positions of the bra/ket bundle vertices -- the same comparison
canonicalize() uses for its explicit bra<->ket swap.

Default off: Conjugate bra/ket stay distinctly colored (historical behavior),
so all existing canonicalization is byte-unchanged. Groundwork for exploiting
Hermitian (Conjugate) braket symmetry in eval-node CSE (CSV coefficients and,
later, time-reversal folding).
Layer the exploit_conjugate byproduct from canonicalize_slots onto the
eval tree, so the two bra<->ket orientations of a Conjugate leaf share one
cached value.

EvalExpr(Tensor, exploit_conjugate) threads the flag into the ToT leaf's
canonicalize_slots call and records the conjugation in a new canon_conj()
bit. That bit is kept OUT of hash_value() (only canon_phase is folded
there), so a Conjugate leaf and its bra<->ket swap hash identically and
share a cache slot. binarize(Tensor, opts) then turns the conjugated
orientation into an EvalOp::Adjoint over the bare canonical leaf, carrying
the SAME canonical index order -- so the existing adjoint evaluator's
result(post) = operand(pre).conj() degenerates to a pure elementwise
conjugation (post == pre, no transpose) on retrieval. This reuses the
tested '+'-adjoint machinery rather than adding a new eval op.

Default off leaves every existing path byte-identical: the new binarize
branch is skipped and canonicalize_slots is called with
exploit_conjugate=false, exactly as before.

Test [exploit_conjugate] (replaces the throwaway probe): a proto-indexed
Conjugate leaf and its adjoint fold to one hash with exactly one carrying
the byproduct; binarize wraps the swapped orientation in EvalOp::Adjoint
over the shared bare leaf with matching canonical indices; off by default
keeps the two distinct.
Extend the exploit_conjugate conjugation channel to the flat (protoindex-free)
block-canonicalization leaf path, so a flat BraKetSymmetry::Conjugate tensor and
its bra<->ket-swapped partner fold onto one cached value the same way the
ToT/canonicalize_slots path already does. This is the path the standard (flat)
Kramers CCk t/g -- Conjugate under Field::Complex -- take.

TensorBlockCanonicalizer::apply() already folds the two bra<->ket orientations
of a Symm tensor (a free relabeling). Factor that color-based swap into a shared
orient_braket_by_color() (apply()'s Symm branch reuses it, byte-for-byte
unchanged) and add fold_conjugate_braket(), which applies the same swap to a
Conjugate tensor and reports whether it swapped -- for Conjugate the swap
carries a conjugation (C{ket;bra} = conj(C{bra;ket})), so it is a byproduct the
caller must consume, not a free relabeling.

The EvalExpr flat-leaf ctor branch calls it under exploit_conjugate and records
the result in canon_conj_ (kept out of the hash, so the two orientations share a
cache slot); binarize(Tensor)'s existing EvalOp::Adjoint wrap then serves the
swapped orientation as a pure elementwise conjugation on retrieval, exactly as
for the ToT path.

Default off leaves every existing path byte-identical. Limitation: equal-color
bra/ket bundles (identical spaces) are not folded on the flat path -- that needs
a full index-pattern comparison, which only the bliss/ToT path does; the flat
color rule matches apply()'s Symm fold.

Test [exploit_conjugate] gains a flat-leaf section (C{a_1;i_1}:N-C-S) mirroring
the ToT checks: off -> distinct, on -> fold + exactly one conjugated + Adjoint
over the shared bare leaf.
EvalExpr(Tensor)'s canonicalize_slots call passed {} for
named_index_compare in order to reach the exploit_conjugate argument. An
empty comparator is NOT the declared default: canonicalize_slots then
falls back to an internal space()-only lambda, whereas the declared
default (default_idxptr_slottype_lesscompare) orders named indices by
proto-index count first. That proto-count-first order is what lays a
CSV/ToT coefficient's canon_indices out with occupieds first -- the
layout CCk's osv_coeff_layout/pno_coeff_layout detectors rely on. So {}
silently mis-ordered them and CSV-CCk (he2/h2o/he10-csv) aborted with
csv_rank==0 ("Only OSV and PNO coefficients available").

Pass default_idxptr_slottype_lesscompare{} explicitly, restoring the
comparator every ToT leaf had before the exploit_conjugate arg was
threaded. Flat leaves (block-canon else-branch) are unaffected.
CostProfile (peak/flops/exec) over the factorized IR via a zero-data dry-run
evaluation, driving the batched cost model's predictions.
Perf-first (DenseTimeSpace) objective with peak_threshold as a ceiling;
role-split (contracted/external) batchability; order-aware placement over the
combined nest; per-node batch annotations consumed by the evaluator.
External-mode scatter + contracted accumulate; cache scope chain with
fall-through; slice-on-use; per-level placement driven by a per-canonical
lifetime mask (cross-occurrence meet) unioned with contracted residency;
iterative (stack-safe) tree traversal.
Index-space occupancy predicates robust to non-physical spaces; logger;
is_valid accepts Power; convention.
The orthonormal-basis overlap branch of csv_transform reused
drop_proto_indices() (which keeps the base ordinal, e.g. a↑_1) as the
contracted dummy of the C†C expansion. Two overlaps sharing a base
virtual then collide on the same dummy, so that index appears >2 times in
the term and the eval-time TensorNetworkV3 build rejects it
("Edge::add_vertex: v is already connected"). Take the spin-labeled base
space from drop_proto_indices() (which correctly preserves the ↑/↓ label)
but mint a unique tmp index in it. No effect on the non-relativistic
(comma-only, single-overlap) path.
make_spin{alpha,beta} stamps a whole proto-bundle with the outer index's single Kramers spin, wrong for a CSV/PNS virtual whose proto is the occ pair (each occ carries its own up/down). Rebuild kv.second's proto-bundle from the original config-mapped proto, unconditionally: rebuilding only when some proto-index was in the map missed the all-external-proto case (a down internal virtual of an up external pair in the vv-Fock coupling), whose amplitude then spanned two proto tuples and gained a spurious pair of outer occ axes.
Cost +inf for a bipartition that sums a shared index which a tensor-of-tensor einsum cannot contract, so the DP de-nests against the CSV coefficients first: (1) a non-proto index that is an outer/batch axis of both ToT operands (the bare C.C overlap over the CSV expansion index mu); (2) a proto-value of a ToT operand (the off-diagonal occ Fock summing the amplitude's own pair index). Self-gating: never fires for flat-only networks, nor for f.C/g.C (fresh CSV mode) nor intra-pair vv-Fock (inner virtual).
With kramers=true every spin-labeled expansion dummy (including the
overlap C+C dummy) is summed over both Kramers flavors instead of
inheriting the CSV index's label: per-index-column ms conservation is
correct nonrelativistically but drops the mixed-label C blocks of a
time-reversal-paired spinor basis.
…nicalization

The label-ignoring default (ignore_named_index_labels=Yes) makes same-space
named indices graph-automorphic, so bliss breaks the orbit by input vertex
order: equivalent summands canonicalize to DIFFERENT forms (defeating the
HashingAccumulator merge) and which named label lands on which slot becomes
input-dependent. Canonicalize summands with IgnoreNamedIndexLabel::No —
merging across a sum requires meaningful named labels, exactly as
Sum::canonicalize_impl already does. Adds a CSV-style regression test
(equivalent g*C*C networks under dummy relabeling + factor reorder must
canonicalize identically and merge to 2x one term).
…ndices)

A pure proto index (appearing only inside proto bundles, never as a
tensor slot) is pinned by TensorNetworkV3 as a named index, so two
expressions equal up to a dummy renaming that touches such an index
canonicalize apart. That pinning is correct when a pure proto is a
meaningful dependent-range parameter, but for CSV/PNS Kramers-traced
expressions proto bundles are decoration keyed by dummy summation
indices, and like-term merging needs them renamed with their legs.

CanonicalizeOptions::rename_pure_proto_indices (default No = existing
behavior) demotes pure protos that are not protos of a named index to
anonymous: they are excluded from the named set fed to the graph
coloring, and canonicalize_graph gives them replacement labels in the
canonical order of their graph vertices, after the edge dummies. Bundle
rewriting on the composites they decorate falls out of the existing
Index::transform proto recursion in apply_index_replacements.
TransformSumExprOptions gains a canonicalize_options pass-through so
sum reduction can opt in.

The csv_proto_dummy_fold reproducer now folds under the option and
loses its [!shouldfail] tag; a new section certifies that the default
keeps dependent-range pure protos pinned.
- orient_braket_by_color: read-only bundle access (drop mutable_* ranges
  and universal references; the reorientation goes through _swap_bra_ket)
- test_tensor_network: pass default_idxptr_slottype_lesscompare{}
  explicitly instead of {} (an empty std::function silently selects
  canonicalize_slots' space-only fallback ordering -- a different code
  path than real callers exercise) and give the helper lambda a
  descriptive name
- test_eval_expr: drop unused <iostream>, drop the 'B2' plan-reference
  from a comment
Mirror Variable and Power: Tensor gains a conjugated_ marker -- in the
hash (contributing only when set, so unconjugated tensors hash
identically to before), in static_equal and static_less_than (T orders
before conj(T)), rendered as ^* on the label in to_latex and in the v1
serializer (label^*{...}, matching the Variable spelling; deserializer
grammar extension deferred -- conjugation currently arises only from
canonicalization at runtime, never from parsed input).

conjugate() toggles the marker and touches no slots; adjoint() is
deliberately unchanged (for BraKetSymmetry::Conjugate the swap IS the
adjoint, the conj being carried by the symmetry relation, so the marker
commutes through it -- certified by the new test).

This is the representation half of making the canonicalizer's
conjugation byproduct symbolic: instead of a network-level bool
(SlotCanonicalizationMetadata::conj / EvalExpr::canon_conj_), the
orientation fold will toggle conjugated_ on the tensor itself, giving
per-tensor granularity by construction.
fold_conjugate_braket now toggles the new elementwise-conjugation marker
(AbstractTensor::_conjugate(), implemented by Tensor) when it reorients
a BraKetSymmetry::Conjugate tensor: by the symmetry relation T{q;p} =
conj(T{p;q}) the swapped spelling denotes the conjugate value, so the
in-place toggle keeps the represented value invariant and the byproduct
becomes part of the expression instead of a side-channel bool. The
legacy bool return stays until every consumer reads the marker.

EvalExpr flat leaves acquire the leaf-hash invariant: the hash is always
that of the unstarred spelling, so the two orientations of a Conjugate
tensor keep sharing one cache slot while expr_ carries the symbolic
star; binarize's Adjoint wrapper serves the conjugation on retrieval.
Drop the exploit_conjugate opt-ins: DefaultTensorCanonicalizer and TNv3
fold the two orientations of a BraKetSymmetry::Conjugate tensor onto one
canonical spelling chosen by the content-based (presentation-invariant)
prefer_swapped_braket rule, shared by the atom and network routes.
Reserved antisymmetrizer/symmetrizer/transposition labels never reorient;
identity (diagonal-trace) bundles never conjugate; c-number guards keep
NormalOperators out of the fold. Eval-layer intermediates compute their
bra/ket partition on the value orientation (value_oriented) so folded
leaves do not merge distinct partitions. Tensor's Hermiticity-taking
ctors preserve literal Conjugate for empty-bra+ket tensors.
Declarations state their true braket symmetry (NonHermitian where legacy
code relied on the deserializer's Conjugate fallback); expected spellings
re-blessed to the folded canonical forms; spintrace sections run under a
cloned Field::Real registry (real_orbital_context); legacy TNV1/V2 cases
hidden behind [.legacy-tn] per TNV3-only support policy.
…ture/kramers-tracing-round2

# Conflicts:
#	SeQuant/core/eval/eval_expr.cpp
#	SeQuant/core/eval/eval_expr.hpp
#	SeQuant/core/tensor_network/v3.cpp
… ToT adjoint end-to-end TA test

The leaf-yielder test now parses its tensor NonHermitian (a Conjugate
leaf in swapped orientation binarizes to an Adjoint node, not a leaf).
ta_tot_adjoint_end_to_end drives Result::adjoint() with data through the
Adjoint IR node against a yielder serving only the canonical
orientation (NB not yet compiled here: no TA-enabled SeQuant build
config exists on this machine).
The loop started at named_indices.size(), assuming the leading edges are
the named ones. A named index that is not an edge (e.g. a pure proto
index) shifted that cutoff onto an anonymous edge; the skipped edge's
ordinal was then handed to another edge of the same space, yielding a
non-injective rewrite that duplicated a slot index. Latent until the
Conjugate braket fold reordered the edge sort.
Traces the CSV-proto'd MP1 energy with fold_T=false and requires no
summand to carry a repeated index inside one bundle; also exercises the
swap_spin conjugate-pair fold that crashed the h2o PNS-MP1 derive.
First-ever compile of these TUs (TA-enabled test build now works against
mpqc4's release _deps): the deserializer's Conjugate fallback let the
always-on braket fold treat unrelated random test tensors as Hermitian
partners (yielder key misses, changed tree shapes). Declare the data's
true symmetry, matching the symbolic-suite policy. The
cache_manager_batch_axis_veto keep-predicate section still fails with
honest declarations — batching-era logic, never compiled before, likely
pre-existing.
A marker-conjugated (folded) tensor spells conj(bra<->ket-swapped);
csv_transform / density_fit / tensor_hypercontract rebuilt tensors from
the raw slot layout and silently dropped the conjugation, producing
value-wrong factorizations of folded inputs. Normalize each rule's
input tensor to the value orientation at entry; value_oriented moves
from eval_expr.cpp's file scope to core/expressions/tensor.hpp.
…ture/kramers-tracing-round2

# Conflicts:
#	SeQuant/domain/mbpt/rules/csv.cpp
expand_antisymm's raw-permutation rebuild and swap_spin's flavor
relabeling are slot-preserving but reconstructed tensors from parts,
silently dropping Tensor::conjugated(): a folded g^* expanded into raw
NonSymm leaves lost its conjugation (value-wrong Kramers-traced energy
in downstream consumers). Copy the marker on every slot-preserving
rebuild.
Delete TensorBlockCanonicalizer::fold_conjugate_braket and
orient_braket_by_color (zero callers; apply_canonical_braket_orientation
is the live fold) and repoint the comments that named them. Document
SlotCanonicalizationMetadata::conj as the swap parity with its
single-consumer invariant, and give its detection the same c-number
guard as create_graph. Assert the real-field no-marker precondition at
the three spin.cpp rebuild sites that drop the conjugation marker
(swap_bra_ket, remove_spin, merge_tensors). Retire stale
exploit_conjugate test tags and fix comment typos.
First-ever compile of these TUs (TA-enabled test build now works against
mpqc4's release _deps): the deserializer's Conjugate fallback let the
always-on braket fold treat unrelated random test tensors as Hermitian
partners (yielder key misses, changed tree shapes). Declare the data's
true symmetry, matching the symbolic-suite policy. The
cache_manager_batch_axis_veto keep-predicate section still fails with
honest declarations — batching-era logic, never compiled before, likely
pre-existing.
…ies the marker

The strict braket sanity check on dummy edges predates the canonical
braket-orientation fold: it only knew BraKetSymmetry::Symm as
orientation-free, so a foldable Conjugate tensor spelled in the swapped
orientation made a legal bra-bra/ket-ket contraction edge trip the
assert (every Debug/assert-enabled CI job died there). The check now
uses the fold's own predicate: Symm, or Conjugate and c-number and not
pinned. Also remove_spin now carries the elementwise-conjugation marker
through its relabeling rebuild (relabeling commutes with conjugation) --
the naive-V1 spintrace path reaches it with folded tensors, which the
new no-marker assert caught.
Declare orientation-rigid tensors (amplitudes, DF factors, residual
heads) braket-Nonsymm in the eval/btas/tapp/extract_subtrees tests and
in the cost_analysis / external-interface example inputs, so the
canonical braket-orientation fold does not reorient them: tree-shape
predicates, yielder cache keys, and the cost_analysis reference outputs
all stay put (cost_analysis references are unchanged). Port the ToT
adjoint end-to-end TA test. The ITF references are regenerated: the
canonicalization rework relabels CSE intermediates (value-preserving,
a few more intermediates than before).
…tion (#59)

Within a term, leaves connected by shared Kramers-flavored slot indices
form flip components; a fully internal component (no external and no
dangling flavored index) is reoriented by global time reversal when its
flipped fingerprint is lexicographically smaller: every index flips
flavor and every leaf takes the elementwise-conjugation marker. The TRS
phases cancel pairwise on the component's contracted lines, so no
scalar arises (same reason the tracer's closed-contraction T-fold is
sign-free). Proto bundles follow their flipped referents through the
replacement map; decoration alone never creates connectivity. Frozen
components (touching externals) keep their orientation -- their blocks
remain served by the existing emission-level TRS derivation.
In-place flavor flips replay reserved tmp ordinals (the
make_index_with_spincase ctor throw on canonicalizer-minted dummies)
and can collide with same-ordinal dummies of the flipped space, so map
every flipped index to a fresh Index::make_tmp_index of the flipped
space instead (composites via the proto-carrying overload, protos
mapped through the plain entries).
create_graph no longer rejects a dummy connecting bra-to-bra through an
adjoint braket-Conjugate c-number tensor: the orientation fold may spell
such a tensor bra<->ket swapped, so the connection is legal. Pin that
with REQUIRE_NOTHROW and keep the covariance check exercised through a
braket-Nonsymm pair, which cannot be reoriented and must still throw.
…7bb3ec) into kshitij/feature/kramers-tracing-round2

# Conflicts:
#	tests/unit/test_canonicalize.cpp
#	tests/unit/test_eval_expr.cpp
Flips never cross a Sum boundary: a nested Sum's flavored indices are
frozen for the outer analysis, and the outer scope's indices plus the
term externals are frozen for the nested analysis.
Removes the kram-stage progress prints, the proto-repeat-bundle
report, and the per-block pre-canon LaTeX dump; all were env-gated
debugging aids for issues since resolved.
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