Identification and Distance Measures of Measurement Apparatus

Abstract

We propose simple schemes that can perfectly identify projective measurement apparatus secretly chosen from a finite set. Entanglements are used in these schemes both to make possible the perfect identification and to improve the efficiency significantly. A brief discussion on the problem of how to appropriately define distance measures of measurements is also provided based on the results of identification.

5 pages, RevTeX, 1 figure. Revised version with more examples and a reorganization of the contents

References in corpus (11)

• Two-photon diffraction and quantum lithography
• Distance measures to compare real and ideal quantum processes
• Probabilistic cloning and identification of linearly independent quantum states
• Statistical distinguishability between unitary operations
• Using entanglement improves precision of quantum measurements
• Unambiguous discrimination among quantum operations
• 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
• Measuring the parity of an $N$-qubit state
• Distinguishability, classical information of quantum operations

Cited by in corpus (33)

• The Perfect Distinguishability of Quantum Operations
• Entanglement Is Not Necessary for Perfect Discrimination between Unitary Operations
• Parameter estimation of quantum channels
• Amortized Channel Divergence for Asymptotic Quantum Channel Discrimination
• Local Distinguishability of Multipartite Unitary Operations
• Experimental Quantum Process Discrimination
• Parallel distinguishability of quantum operations
• Unitary transformations can be identified locally
• Optimal single shot strategies for discrimination of quantum measurements
• A Practical Introduction to Benchmarking and Characterization of Quantum Computers
• Discrimination of quantum observables using limited resources
• Unambiguous comparison of quantum measurements
• Optimal two-copy discrimination of quantum measurements
• Multigap superconductivity at extremely high temperature: a model for the case of pressurized H2S
• Multiple-shot and unambiguous discrimination of von Neumann measurements
• Capability of local operations and classical communication for distinguishing bipartite unitary operations
• Discrimination of POVMs with rank-one effects
• Optimal entanglement-assisted discrimination of quantum measurements
• Simple upper and lower bounds on the ultimate success probability for discriminating arbitrary finite-dimensional quantum processes
• Perfect discrimination of quantum measurements using entangled systems
• Variational certification of quantum devices
• Optimal quantum discrimination of single-qubit unitary gates between two candidates
• Query complexity of unitary operation discrimination
• When is the Chernoff Exponent for Quantum Operations finite?
• Automatic Test Pattern Generation for Robust Quantum Circuit Testing
• On the optimal certification of von Neumann measurements
• Single-shot Distinguishability and Anti-distinguishability of Quantum Measurements
• Local Unambiguous Discrimination with Remaining Entanglement
• Optimal Perfect Distinguishability between Unitaries and Quantum Operations
• Excluding false negative error in certification of quantum channels
• Single-shot labeling of quantum observables
• On the local discrimination of quantum measurements
• Single-shot antidistinguishability of unitary operations