Physical accessible transformations on a finite number of quantum states
arXiv:quant-ph/0611096 · doi:10.1103/PhysRevA.75.012321
Abstract
We consider to treat the usual probabilistic cloning, state separation, unambiguous state discrimination, \emph{etc} in a uniform framework. All these transformations can be regarded as special examples of generalized completely positive trace non-increasing maps on a finite number of input states. From the system-ancilla model we construct the corresponding unitary implementation of pure pure, pure mixed, mixed pure, and mixed mixed states transformations in the whole system and obtain the necessary and sufficient conditions on the existence of the desired maps. We expect our work will be helpful to explore what we can do on a finite set of input states.
7 pages
References in corpus (17)
- Quantum Copying: Beyond the No-Cloning Theorem
- Optimal Cloning of Pure States
- Probabilistic cloning and identification of linearly independent quantum states
- Unambiguous Discrimination Between Linearly-Independent Quantum States
- Unambiguous discrimination of mixed states
- Optimal state estimation for d-dimensional quantum systems
- Optimum unambiguous discrimination of two mixed quantum states
- A Semidefinite Programming Approach to Optimal Unambiguous Discrimination of Quantum States
- Quantum State Separation, Unambiguous Discrimination and Exact Cloning
- Unambiguous discrimination between quantum 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
- Quantum Operations, State Transformations and Probabilities
- Optimal unambiguous filtering of a quantum state: An instance in mixed state discrimination
- Deterministic Quantum State Transformations
- Towards Robust Quantum Computation
- Unambiguous discrimination of special sets of multipartite states using local measurements and classical communication