Unambiguous discrimination of mixed states: A description based on system-ancilla coupling
arXiv:quant-ph/0611095 · doi:10.1103/PhysRevA.75.052314
Abstract
We propose a general description on the unambiguous discrimination of mixed states according to the system-environment coupling, and present a procedure to reduce this to a standard semidefinite programming problem. In the two states case, we introduce the canonical vectors and partly simplify the problem to the case of discrimination between pairs of canonical vectors. By considering the positivity of the two by two matrices, we obtain a series of new upper bounds of the total success probability which depends on both the prior probabilities and specific state structures.
6 pages, 1 table, added some examples
References in corpus (15)
- Probabilistic cloning and identification of linearly independent quantum states
- Unambiguous Discrimination Between Linearly-Independent Quantum States
- Unambiguous discrimination of mixed states
- A Semidefinite Programming Approach to Optimal Unambiguous Discrimination of Quantum States
- Optimum unambiguous discrimination of two mixed quantum states
- Unambiguous discrimination between quantum mixed states
- Optimum unambiguous discrimination among linearly-independent non-orthogonal quantum states and its optical realization
- Reduction Theorems for Optimal Unambiguous State Discrimination of Density Matrices
- Optimal unambiguous discrimination between subsets of non-orthogonal quantum states
- Optimal quantum detectors for unambiguous detection of mixed states
- Optimal unambiguous discrimination of two subspaces as a case in mixed state discrimination
- Optimal Unambiguous State Discrimination of two density matrices and its link with the Fidelity
- Towards Robust Quantum Computation
- Physical accessible transformations on a finite number of quantum states
- Simultaneous decomposition of two states
Cited by in corpus (11)
- Minimum-error discrimination between mixed quantum states
- Optimum Unambiguous Discrimination of Linearly Independent Pure States
- Discrimination with error margin between two states - Case of general occurrence probabilities -
- Optimal bounded-error strategies for projective measurements in non-orthogonal state discrimination
- Complete solution for unambiguous discrimination of three pure states with real inner products
- Discrimination of two mixed quantum states with maximum confidence and minimum probability of inconclusive results
- Optimal unambiguous state discrimination of two density matrices: A second class of exact solutions
- Structural approach to unambiguous discrimination of two mixed quantum states
- Designing the unambiguous discriminator from the one -photon interferometer
- Optimal positive-operator-valued measures for unambiguous state discrimination
- Commutator Relations Reveal Solvable Structures in Unambiguous State Discrimination