Quantum / CONCEPT
All gate orderings of an open-boundary transfer-matrix circuit
Every ordering that uses each boundary gate and each nearest-neighbour gate once is a nonzero scalar multiple of a double-row transfer matrix with signed inhomogeneities. Mutual commutation of the transfer matrices implies commutation of the circuit with that family.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH6
DOCUMENT LINKS1
Every ordering has a transfer-matrix realization
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- Input Information Balancestructural-affinity · Closed
- Partial Trace and Quantum Mutual Informationstructural-affinity · Closed
- Rényi CMI local-channel monotonicitystructural-affinity · Closed
- The conjectured minimum depths of open integrable circuits are falsestructural-affinity · Closed
- The kernel and trace criteria are not equivalentstructural-affinity · Closed
- The minimum depth of open integrable circuitsstructural-affinity · Closed
- The minimum of purity plus time-reversal overlapstructural-affinity · Closed
- The minimum of the long-time algebra OTOCstructural-affinity · Closed
- The original low-alpha SBW assertionstructural-affinity · Closed
- Two-qubit conditional domains need not be subalgebrasstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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