Unitary transformations can be identified locally

Abstract

We show that in principle, $N$-partite unitary transformations can be perfectly discriminated under local measurement and classical communication (LOCC) despite of their nonlocal properties. Based on this result, some related topics, including the construction of the appropriate quantum circuit together with the extension to general completely positive trace preserving operations, are discussed.

6 pages, 1 figure, errors modified

References in corpus (24)

• Elementary gates for quantum computation
• Quantum Nonlocality without Entanglement
• Two-Bit Gates are Universal for Quantum Computation
• Time Optimal Control in Spin Systems
• Experimental entanglement of six photons in graph states
• Quantum Computation as Geometry
• Local Distinguishability of Multipartite Orthogonal Quantum States
• Optimal Creation of Entanglement Using a Two--Qubit Gate
• Multi-valued Logic Gates for Quantum Computation
• Universality in Quantum Computation
• A practical scheme for quantum computation with any two-qubit entangling gate
• Statistical distinguishability between unitary operations
• Using entanglement improves precision of quantum measurements
• A universal quantum circuit for two-qubit transformations with three CNOT gates
• Entangling operations and their implementation using a small amount of entanglement
• Efficient decomposition of quantum gates
• A Universal Two--Bit Gate for Quantum Computation
• Phonon decoherence of quantum entanglement: Robust and fragile states
• Asymptotically Optimal Quantum Circuits for d-level Systems
• Entanglement Is Not Necessary for Perfect Discrimination between Unitary Operations
• Identification and Distance Measures of Measurement Apparatus
• Generating qudits with d=3,4 encoded on two-photon states
• Minimax discrimination of two Pauli channels
• Entangling capacity and distinguishability of two-qubit unitary operators

Cited by in corpus (13)

• Experimental Quantum Process Discrimination
• Entanglement in channel discrimination with restricted measurements
• 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
• Optimal two-copy discrimination of quantum measurements
• Linear-Optical Implementation of Perfect Discrimination between Single-bit Unitary Operations
• Capability of local operations and classical communication for distinguishing bipartite unitary operations
• Optimal quantum discrimination of single-qubit unitary gates between two candidates
• Sequential scheme for locally discriminating bipartite unitary operations without inverses
• Query complexity of unitary operation discrimination
• When is the Chernoff Exponent for Quantum Operations finite?
• Single-Copy Certification of Two-Qubit Gates without Entanglement
• Ancilla-Assisted Discrimination of Quantum Gates