Measuring the parity of an $N$-qubit state

Details Measuring the parity of an $N$-qubit state Measuring the parity of an $N$-qubit state

2005-08-05

arxiv.org/abs/quant-ph/0508048v1

Physics

Quantum Physics

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.95.110502

We present a scheme for a projective measurement of the parity operator $P_z=\prod_{i=1}^N \sigma_z^{(i)}$ of $N$-qubits. Our protocol uses a single ancillary qubit, or a probe qubit, and involves manipulations of the total spin of the $N$ qubits without requiring individual addressing. We illustrate our protocol in terms of an experimental implementation with atomic ions in a two-zone linear Paul trap, and further discuss its extensions to several more general cases.

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