Quantum state discrimination

By A. Chefles. 2000

314 citations recorded by the source corpus.

There are fundamental limits to the accuracy with which one can determine the state of a quantum system. I give an overview of the main approaches to quantum state discrimination. Several strategies exist. In quantum hypothesis testing, a quantum system is prepared in a member of a known, finite set of states, and the aim is to guess which one with the minimum probability of error. Error free discrimination is also sometimes possible, if we allow for the possibility of obtaining inconclusive results. If no prior information about the state is provided, then it is impractical to try to determine it exactly, and it must be estimated instead. In addition to reviewing these various strategies, I describe connections between state discrimination, the manipulation of quantum entanglement and quantum cloning. Recent experimental work is also discussed.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/edef85b382aa6e6b0e614d7ce1dfe3947e29c20e

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. Roger Colbeck
2. Renato Renner
3. Adrian Kent

In Atomic and Molecular Physics, and Optics

1. Roger Colbeck
2. Renato Renner
3. Adrian Kent

Citations in the corpus

• Advances in quantum cryptography (2019, unknown): “As already mentioned, an efficient computation of the quantum fidelity is crucial for solving problems of quantum state discrimination [91, 92, 601], where two multi-mode Gaussian states must be optimally distinguished.”
• Quantum And Relativistic Protocols For Secure Multi-Party Computation (2009, background): “In general, it is not known how to obtain an analytic solution to this problem [5], although numerical techniques have been developed [6].”