REVIEW 6 cited by
Quantum marginal problem and representations of the symmetric group
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
We discuss existence of mixed state of multicomponent system with given spectrum and given reduced density matrices. We give a complete solution of the problem in terms of linear inequalities on the spectra, accompanied with extensive tables of marginal inequalities, including arrays up to 4 qubits. In the second part of the paper we pursue another approach based on reduction of the problem to representation theory of the symmetric group.
Forward citations
Cited by 6 Pith papers
-
Spectrum Estimation is Almost as Hard as Tomography
Spectrum estimation, von Neumann entropy estimation, and rank testing of d-dimensional quantum states each require d^{2−o(1)} copies at constant precision — nearly as many as full tomography.
-
Quantum state determinability from local marginals is universally robust
Unique determinability of multipartite quantum states from local marginals is robust to small errors, with global deviations bounded by a power law, linear robustness certifiable by SDP, and applications to scalable e...
-
Plethysm is in #BQP
Plethysm coefficients and general branching multiplicities for products of general linear groups are computable in #BQP.
-
Many-Body Entanglement Properties of Finite Interacting Fermionic Hamiltonians
Ground states of fermionic Hamiltonians limited to M-body interactions cannot achieve maximal M-body entanglement.
-
Saturation property fails for Schubert coefficients
Schubert saturation fails: for infinitely many triples, c^w_{u,v}=1 but c^{N*w}_{N*u,N*v}=0 for all N>1.
-
Quantum State Engineering Under Multiple Expectation-Value Constraints
QUEST is a new adaptive framework for quantum state engineering that constructs states one Pauli rotation at a time to satisfy multiple expectation-value targets simultaneously.
Discussion (0). Sign in to comment.