Quantum algorithm for measuring the energy of n qubits with unknown pair-interactions

Details Quantum algorithm for measuring the energy of n qubits with unknown pair-interactions Quantum algorithm for measuring the energy of n qubits with unknown pair-interactions

2001-08-10

arxiv.org/abs/quant-ph/0108052v1

Quant. Inf. & Comp. 2 (3):198-207, 2002

Physics

Quantum Physics

6 pages, revtex

Scientific paper

The well-known algorithm for quantum phase estimation requires that the considered unitary is available as a conditional transformation depending on the quantum state of an ancilla register. We present an algorithm converting an unknown n-qubit pair-interaction Hamiltonian into a conditional one such that standard phase estimation can be applied to measure the energy. Our essential assumption is that the considered system can be brought into interaction with a quantum computer. For large n the algorithm could still be applicable for estimating the density of energy states and might therefore be useful for finding energy gaps in solid states.

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