A quantum gate array can be programmed to evaluate the expectation value of any operator

Details A quantum gate array can be programmed to evaluate the expectation value of any operator A quantum gate array can be programmed to evaluate the expectation value of any operator

2003-06-20

arxiv.org/abs/quant-ph/0306143v1

Physics

Quantum Physics

4 pages, 3 figures included

Scientific paper

10.1103/PhysRevA.68.052316

A programmable gate array is a circuit whose action is controlled by input data. In this letter we describe a special--purpose quantum circuit that can be programmed to evaluate the expectation value of any operator $O$ acting on a space of states of $N$ dimensions. The circuit has a program register whose state $|\Psi(O)>_P$ encodes the operator $O$ whose expectation value is to be evaluated. The method requires knowledge of the expansion of $O$ in a basis of the space of operators. We discuss some applications of this circuit and its relation to known instances of quantum state tomography.

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