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arXiv:1111.4038 · Physical Review A

Nondestructive identification of the Bell diagonal state

Jiasen Jin, Chang‐shui Yu, He‐Shan Song

Published Mar 14, 2011• 4 citations
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Abstract

We propose a scheme for identifying an unknown Bell diagonal state. In our scheme the measurements are performed on the probe qubits instead of the Bell diagonal state. The distinct advantage is that the quantum state of the evolved Bell diagonal state ensemble plus probe states will still collapse on the original Bell diagonal state ensemble after the measurement on probe states; i.e., our identification is quantum state nondestructive. How to realize our scheme in the framework of cavity electrodynamics is also shown.

DOI
10.1103/physreva.83.032109

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We propose an approach to nondestructively detect NNN qubits by measuring the transmissions of a dispersively-coupled cavity. By taking into account all the qubit-cavity correlations (i.e., beyond the usual mean-field approximations), it is suggested that for an unknown normalized NNN-qubit state ∣ψN>=∑k=02N−1βk∣k>N|\psi_N>=\sum_{k=0}^{2^N-1}\beta_k|k>_N∣ψN​>=∑k=02N−1​βk​∣k>N​, each detected peak of the cavity's transmission marks one of the logic states ∣k>N|k>_N∣k>N​ and the relative height of such a peak is related to the corresponding superposed-probability ∣βk∣2|\beta_k|^2∣βk​∣2. % Specifically, we show that these generic predications could be verified experimentally by the current circuit-quantum-electrodynamics systems with few superconducting qubits.