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A Unified Quantum NOT Gate

We study the feasibility of implementing a quantum NOT gate (approximate) when the quantum state lies between two latitudes on the Bloch's sphere and present an analytical formula for the optimized 1-to-$M$ quantum NOT gate. Our result generalizes previous results concerning quantum NOT gate for a quantum state distributed uniformly on the whole Bloch sphere as well as the phase covariant quantum state. We have also shown that such 1-to-$M$ optimized NOT gate can be implemented using a sequential generation scheme via matrix product states (MPS).

preprint2008arXivOpen access
Z. W. YuX. T. NiL. C. KwekX. B. Wang
quant-ph
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Open access4 authors1 topic
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Z. W. YuX. T. NiL. C. KwekX. B. Wang

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