Ideal state discrimination with an O(1)-qubit quantum computer

Details Ideal state discrimination with an O(1)-qubit quantum computer Ideal state discrimination with an O(1)-qubit quantum computer

2012-01-31

arxiv.org/abs/1201.6625v1

Physics

Quantum Physics

5 pages, 1 figure, O(1) qubits

Scientific paper

We show how to optimally discriminate between K distinct quantum states, of which N copies are available, using one-at-a-time interactions with each of the N copies. While this task (famously) requires joint measurements on all N copies, we show that it can be solved with one-at-a-time "coherent measurements" performed by an apparatus with log(K) qubits of quantum memory. We apply the same technique to optimal discrimination between K distinct N-particle matrix product states of bond dimension D, using a coherent measurement apparatus with log(K) + log(D) qubits of memory.

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