Probabilistic quantum multimeters
arXiv:quant-ph/0308111 · doi:10.1103/PhysRevA.69.032302
Abstract
We propose quantum devices that can realize probabilistically different projective measurements on a qubit. The desired measurement basis is selected by the quantum state of a program register. First we analyze the phase-covariant multimeters for a large class of program states, then the universal multimeters for a special choice of program. In both cases we start with deterministic but erroneous devices and then proceed to devices that never make a mistake but from time to time they give an inconclusive result. These multimeters are optimized (for a given type of a program) with respect to the minimum probability of inconclusive result. This concept is further generalized to the multimeters that minimize the error rate for a given probability of an inconclusive result (or vice versa). Finally, we propose a generalization for qudits.
12 pages, 3 figures
References in corpus (25)
- Experimental quantum teleportation
- Programmable quantum gate arrays
- Universal Algorithm for Optimal Estimation of Quantum States from Finite Ensembles
- Experimental Demonstration of Optimal Unambiguous State Discrimination
- Unambiguous discrimination of mixed states
- Optimal discrimination of mixed quantum states involving inconclusive results
- Optimal phase covariant cloning for qubits and qutrits
- Quantum learning and universal quantum matching machine
- Storing quantum dynamics in quantum states: stochastic programmable gate for U(1) operations
- Entangled quantum states as direction indicators
- Quantum multimeters: A programmable state discriminator
- Probabilistic implementation of universal quantum processors
- Optimum unambiguous discrimination among linearly-independent non-orthogonal quantum states and its optical realization
- Reduction Theorems for Optimal Unambiguous State Discrimination of Density Matrices
- Comparison of two unknown pure quantum states
- Mixed quantum state detection with inconclusive results
- Unambiguous State Discrimination of Coherent States with Linear Optics: Application to Quantum Cryptography
- Transmission of a Cartesian Frame by a Quantum System
- Aligning Reference Frames Using Quantum States
- General Strategies for Discrimination of Quantum States
- Universal measurement apparatus controlled by quantum software
- Optimal encoding and decoding of a spin direction
- Optimal strategies for sending information through a quantum channel
- A quantum gate array can be programmed to evaluate the expectation value of any operator
- Implementation of quantum maps by programmable quantum processors
Cited by in corpus (19)
- Quantum teleportation scheme by selecting one of multiple output ports
- A universal programmable quantum state discriminator that is optimal for unambiguously distinguishing between unknown states
- Programmable quantum state discriminators with simple programs
- Efficient universal programmable quantum measurements
- Realization of POVMs using measurement-assisted programmable quantum processors
- Programmable unknown quantum-state discriminators with multiple copies of program and data: A Jordan basis approach
- Optimal universal programmable detectors for unambiguous discrimination
- Experimental realization of programmable quantum gate
- Experimental realization of a programmable quantum-state discriminator and a phase-covariant quantum multimeter
- Optimality of programmable quantum measurements
- Success probabilities for universal unambiguous discriminators between unknown pure states
- Programmable quantum channels and measurements
- Programmable quantum state discriminator by Nuclear Magnetic Resonance
- An agnostic-Dolinar receiver for coherent states classification
- Optimal programmable unambiguous discriminator between two unknown latitudinal states
- Universal adjointation of isometry operations using conversion of quantum supermaps
- Application of quantum algorithms to the study of permutations and group automorphisms
- On the most efficient unitary transformation for programming quantum channels
- Quantum Advantage in Storage and Retrieval of Isometry Channels