Kedar S Ranade and Gernot Alber 2006 J. Phys. A: Math. Gen. 39 1701 doi:10.1088/0305-4470/39/7/014
Kedar S Ranade and Gernot Alber
Show affiliationsThe general conditions are discussed which quantum state purification protocols have to fulfil in order to be capable of purifying Bell-diagonal qubit-pair states, provided they consist of steps that map Bell-diagonal states to Bell-diagonal states and they finally apply a suitably chosen Calderbank–Shor–Steane code to the outcome of such steps. As a main result a condition on asymptotic correctability is presented, which relates this problem to the magnitude of a characteristic exponent governing the relation between bit and phase errors under the purification steps. This condition allows a straightforward determination of maximum tolerable bit-error rates of quantum key distribution protocols whose security analysis can be reduced to the purification of Bell-diagonal states.
03.67.Dd Quantum cryptography and communication security
03.67.Mn Entanglement measures, witnesses, and other characterizations
03.67.Lx Quantum computation architectures and implementations
81P68 Quantum computation and quantum cryptography (See also 68Q05, 94A60)
Issue 7 (17 February 2006)
Received 6 October 2005, in final form 22 December 2005
Published 1 February 2006
Kedar S Ranade and Gernot Alber 2006 J. Phys. A: Math. Gen. 39 1701
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