Optimal probabilistic estimation of quantum states

作者: Jaromír Fiurášek

DOI: 10.1088/1367-2630/8/9/192

关键词:

摘要: We extend the concept of probabilistic unambiguous discrimination quantum states to state estimation. consider a scenario where measurement device can output either an estimate unknown input or inconclusive result. present general method how evaluate maximum fidelity achievable by estimation strategy. illustrate our on two explicit examples: qudit from pair conjugate qudits and phase covariant qubit N copies. show that allowing for results it is possible reach higher than best deterministic

参考文章(32)
A. Luis, L.L. Sánchez-Soto, 6 – Quantum phase difference, phase measurements and stokes operators Progress in Optics. ,vol. 41, pp. 421- 481 ,(2000) , 10.1016/S0079-6638(00)80021-9
Lu-Ming Duan, Guang-Can Guo, Probabilistic Cloning and Identification of Linearly Independent Quantum States Physical Review Letters. ,vol. 80, pp. 4999- 5002 ,(1998) , 10.1103/PHYSREVLETT.80.4999
Terry Rudolph, Robert W. Spekkens, Peter S. Turner, Unambiguous discrimination of mixed states Physical Review A. ,vol. 68, pp. 010301- ,(2003) , 10.1103/PHYSREVA.68.010301
Chiara Macchiavello, Optimal estimation of multiple phases Physical Review A. ,vol. 67, pp. 062302- ,(2003) , 10.1103/PHYSREVA.67.062302
Miroslav Ježek, Jaroslav Řeháček, Jaromír Fiurášek, Finding optimal strategies for minimum-error quantum-state discrimination Physical Review A. ,vol. 65, pp. 060301- ,(2002) , 10.1103/PHYSREVA.65.060301
K. Hammerer, M. M. Wolf, E. S. Polzik, J. I. Cirac, Quantum benchmark for storage and transmission of coherent states. Physical Review Letters. ,vol. 94, pp. 150503- 150503 ,(2005) , 10.1103/PHYSREVLETT.94.150503
E. Bagan, M. Baig, R. Muñoz-Tapia, Quantum reverse engineering and reference-frame alignment without nonlocal correlations Physical Review A. ,vol. 70, pp. 030301- ,(2004) , 10.1103/PHYSREVA.70.030301
Anthony Chefles, Unambiguous discrimination between linearly independent quantum states Physics Letters A. ,vol. 239, pp. 339- 347 ,(1998) , 10.1016/S0375-9601(98)00064-4
Jaromír Fiurášek, Miroslav Ježek, Optimal discrimination of mixed quantum states involving inconclusive results Physical Review A. ,vol. 67, pp. 012321- ,(2003) , 10.1103/PHYSREVA.67.012321