More assistance of entanglement, less rounds of classical communication
arXiv:2303.13645 · doi:10.1088/1751-8121/aceddb
Abstract
Classical communication plays a crucial role to distinguish locally a class of quantum states. Despite considerable advances, we have very little knowledge about the number of measurement and communication rounds needed to implement a discrimination task by local quantum operations and classical communications (in short, LOCC). In this letter, we are able to show the relation between round numbers with the local discrimination of a set of pure bipartite orthogonal quantum states. To demonstrate the possible strong dependence on the round numbers, we consider a class of orthogonal product states in , which require at least round of classical communications. Curiously the round number can be reduced to by the assistance of one-ebit of entanglement as resource and can be reduced further by assistance of more entanglement. We are also able to show that the number of LOCC rounds needed for a discrimination task may depend on the amount of entanglement assistances.
arXiv comment11 pages, 3 figures, revtex, comments welcome
References in corpus (40)
- Mixed State Entanglement and Quantum Error Correction
- Unextendible Product Bases and Bound Entanglement
- Local Distinguishability of Multipartite Orthogonal Quantum States
- Everything You Always Wanted to Know About LOCC (But Were Afraid to Ask)
- Unextendible Product Bases, Uncompletable Product Bases and Bound Entanglement
- Multipartite Nonlocality without Entanglement in Many Dimensions
- Nonlocality, Asymmetry, and Distinguishing Bipartite States
- Distinguishability of the Bell states
- Distinguishability and indistinguishability by LOCC
- Local indistinguishability: more nonlocality with less entanglement
- Local indistinguishability and LOCC monotones
- Distinguishing Bipartitite Orthogonal States using LOCC: Best and Worst Cases
- Optimal local discrimination of two multipartite pure states
- Strong Quantum Nonlocality without Entanglement
- Distinguishability of maximally entangled states
- Four Locally Indistinguishable Ququad-Ququad Orthogonal Maximally Entangled States
- Bipartite subspaces having no LOCC-distinguishable bases
- Nonlocality of orthogonal product basis quantum states
- Distinguishing Arbitrary Multipartite Basis Unambiguously Using Local Operations and Classical Communication
- Understanding entanglement as resource: locally distinguishing unextendible product bases
- Local distinguishability with preservation of entanglement
- Several nonlocal sets of multipartite pure orthogonal product states
- Local indistinguishability of orthogonal product states
- Limitations on separable measurements by convex optimization
- Distinguishability of Quantum States by Positive Operator-Valued Measures with Positive Partial Transpose
- Nonlocal variables with product states eigenstates
- Entanglement as a resource for local state discrimination in multipartite systems
- The Minimum Size of Unextendible Product Bases in the Bipartite Case (and Some Multipartite Cases)
- Constructing locally indistinguishable orthogonal product bases in an system
- Local Transformations Requiring Infinite Rounds of Classical Communication
- Entanglement Cost of Nonlocal Measurements
- Local Distinguishability of Any Three Quantum States
- Family of bound entangled states on the boundary of Peres set
- Optimal resource states for local state discrimination
- Local distinguishability of orthogonal 2\otimes3 pure states
- Entanglement cost of two-qubit orthogonal measurements
- Local Distinguishability of Orthogonal Quantum States and Generators of SU(N)
- Round Complexity in the Local Transformations of Quantum and Classical States
- Nonlocality without entanglement: Party asymmetric case
- Unextendible entangled bases and more nonlocality with less entanglement