×

Optimal anti-cloning for real state. (English) Zbl 1192.81114

Summary: We present two optimal quantum anti-cloning machines for real state in two dimensions, i.e., input state lying in the \(x\)-\(z\) equator. The first anti-cloning machine produces two outputs which are orthogonal to the input, and the second one produces two anti-parallel outputs for a single input state. The optimal fidelities are also derived.

MSC:

81P68 Quantum computation
Full Text: DOI

References:

[1] Neilsen M. A., Quantum Computation and Quantum Information (2000)
[2] DOI: 10.1103/PhysRevLett.70.1895 · Zbl 1051.81505 · doi:10.1103/PhysRevLett.70.1895
[3] DOI: 10.1038/299802a0 · Zbl 1369.81022 · doi:10.1038/299802a0
[4] DOI: 10.1016/S0375-9601(98)00170-4 · Zbl 0948.81523 · doi:10.1016/S0375-9601(98)00170-4
[5] DOI: 10.1103/PhysRevA.60.R2626 · doi:10.1103/PhysRevA.60.R2626
[6] DOI: 10.1103/PhysRevLett.83.432 · doi:10.1103/PhysRevLett.83.432
[7] DOI: 10.1103/PhysRevA.66.062319 · doi:10.1103/PhysRevA.66.062319
[8] DOI: 10.1103/PhysRevLett.80.4999 · doi:10.1103/PhysRevLett.80.4999
[9] DOI: 10.1103/PhysRevA.54.1844 · doi:10.1103/PhysRevA.54.1844
[10] DOI: 10.1103/PhysRevLett.79.2153 · doi:10.1103/PhysRevLett.79.2153
[11] DOI: 10.1103/PhysRevA.58.1827 · doi:10.1103/PhysRevA.58.1827
[12] DOI: 10.1103/PhysRevA.57.2368 · doi:10.1103/PhysRevA.57.2368
[13] DOI: 10.1103/PhysRevA.65.012304 · doi:10.1103/PhysRevA.65.012304
[14] DOI: 10.1103/PhysRevA.62.012302 · doi:10.1103/PhysRevA.62.012302
[15] DOI: 10.1103/PhysRevA.68.032313 · doi:10.1103/PhysRevA.68.032313
[16] DOI: 10.1016/j.physleta.2005.04.063 · doi:10.1016/j.physleta.2005.04.063
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.