Local Distinguishability of Multipartite Unitary Operations
arXiv:0705.1424 · doi:10.1103/PhysRevLett.100.020503
Abstract
We show that any two different unitary operations acting on an arbitrary multipartite quantum system can be perfectly distinguishable by local operations and classical communication when a finite number of runs is allowed. We then directly extend this result into the case when the number of unitary operations to be discriminated is more than two. Intuitively, our result means that the lost identity of a nonlocal (entangled) unitary operation can be recovered locally, without any use of entanglement or joint quantum operations.
5 pages (in Revtex 4), 1 eps. A preliminary version. Comments are welcome
References in corpus (6)
- The Quantum Chernoff Bound
- Entanglement Is Not Necessary for Perfect Discrimination between Unitary Operations
- Unambiguous discrimination among quantum operations
- Not So SuperDense Coding - Deterministic Dense Coding with Partially Entangled States
- Identification and Distance Measures of Measurement Apparatus
- Unambiguous discrimination among oracle operators
Cited by in corpus (31)
- Perfect discrimination of no-signalling channels via quantum superposition of causal structures
- The Perfect Distinguishability of Quantum Operations
- Restricted numerical range: a versatile tool in the theory of quantum information
- Energy-constrained discrimination of unitaries, quantum speed limits and a Gaussian Solovay-Kitaev theorem
- Experimental Quantum Process Discrimination
- Entanglement in channel discrimination with restricted measurements
- Product numerical range in a space with tensor product structure
- Optimally controlled quantum discrimination and estimation
- Quantum data hiding with continuous variable systems
- Local Entanglement Is Not Necessary for Perfect Discrimination between Unitary Operations Acting on Two-Qudits by LOCC
- Discrimination of two-qubit unitaries via local operations and classical communication
- Exact Quantum Search by Parallel Unitary Discrimination Schemes
- Ancilla dimension in quantum channel discrimination
- Optimal two-copy discrimination of quantum measurements
- Capability of local operations and classical communication for distinguishing bipartite unitary operations
- Linear-Optical Implementation of Perfect Discrimination between Single-bit Unitary Operations
- Multiple-shot and unambiguous discrimination of von Neumann measurements
- Diagonal unitary and orthogonal symmetries in quantum theory II: Evolution operators
- The SWITCH test for discriminating quantum evolutions
- Optimal quantum discrimination of single-qubit unitary gates between two candidates
- Process estimation in qubit systems: a quantum decision theory approach
- Local distinguishability of quantum states in multipartite System
- Sequential scheme for locally discriminating bipartite unitary operations without inverses
- Query complexity of unitary operation discrimination
- Local Unambiguous Discrimination with Remaining Entanglement
- Single-Copy Certification of Two-Qubit Gates without Entanglement
- The existence of distinguishable bases in three-dimensional subspaces of qutrit-qudit systems under one-way local operations and classical communication
- Ancilla-Assisted Discrimination of Quantum Gates
- Numerical search for universal entanglers in C3xC4 and C4xC4
- Local certification of unitary operations
- Global versus Local Discrimination of Locally Implementable Multipartite Unitaries