摘要Positive-operator-value measurement (POVM) is the most general class of quantum measurement. We propose a scheme to deterministically implement arbitrary POVMs of single atomic qubit via cavity QED catalysed by only one ancilla atomic qubit. By appropriately entangling two atomic qubits and sequentially measuring the ancilla qubit, any POVM can be implemented step by step. As an application of our scheme, the realization of a specific POVM for optimal unambiguous discrimination (OUD) between two nonorthogonal states is given.
Abstract：Positive-operator-value measurement (POVM) is the most general class of quantum measurement. We propose a scheme to deterministically implement arbitrary POVMs of single atomic qubit via cavity QED catalysed by only one ancilla atomic qubit. By appropriately entangling two atomic qubits and sequentially measuring the ancilla qubit, any POVM can be implemented step by step. As an application of our scheme, the realization of a specific POVM for optimal unambiguous discrimination (OUD) between two nonorthogonal states is given.
HAN Yang;WU Wei;WU Chun-Wang;DAI Hong-Yi;LI Cheng-Zu. Realization of Arbitrary Positive-Operator-Value Measurement of Single Atomic Qubit via Cavity QED[J]. 中国物理快报, 2008, 25(12): 4195-4198.
HAN Yang, WU Wei, WU Chun-Wang, DAI Hong-Yi, LI Cheng-Zu. Realization of Arbitrary Positive-Operator-Value Measurement of Single Atomic Qubit via Cavity QED. Chin. Phys. Lett., 2008, 25(12): 4195-4198.
[1] Nielsen M A and Chuang I L 2000 Quantum Computationand Quantum Information (Cambridge: Cambridge University Press) [2] Neumark M A and Akad I 1940 Nauk SSSR, Ser. Mat.4 277 [3]Ahnert S E and Payne M C 2005 Phys. Rev. A 71 012330 [4]Ahnert S E and Payne M C 2004 Phys. Rev. A 69012312 [5] Ahnert S E and Payne M C 2006 Phys. Rev. A 73022333 [6] Chen P X, Bergou J A, Zhu S Y and Guo G C 2007 Phys.Rev. A 76 060303 [7] Franke-Arnold S et al 2001 Phys. Rev. A 63 052301 [8] Huttner B et al 1996 Phys. Rev. A 54 3783 [9] Clarke R B M, Chefles A, Barnett S M, and Riis E 2001 Phys.Rev. A 63 040305(R) [10] Clarke R B M et al 2001 Phys. Rev. A 64012303 [11] Mohseni M, Steinberg A M and Bergou J A 2004 Phys.Rev. Lett. 93 200403 [12]C. Monroe 2002 Nature 416 238 [13]Barenco A, Deutsch D and Ekert A 1995 Phys. Rev.Lett. 74 4083 [14]Guo G P et al 2002 Phys. Rev. A 65 042102 [15]Shu J et al 2007 Phys. Rev. A 75 044302 [16] Zhou Y L, Yang L J and Dai H Y 2007 Chin. Phys.Lett. 24 3304 [17] Sleator T, and Weinfuture H 1995 Phys. Rev. Lett.74 4087 [18] Huttner B et al 1996 Phys. Rev. A 54 3783 [19] Brune M et al 1996 Phys. Rev. Lett. 77 4887 [20] Song K H and Zhang W J 2001 Phys. Lett. A {\bf290 214 [21] Rempe G, Schmidt-Kaler F and Walther H 1990 Phys.Rev. Lett. 64 2783 [22] Rauschenbeutel A et al 1999 Phys. Rev. Lett. {\bf83 5166
2008, Vol. 25 
