Efficient state preparation for a register of quantum bits

Details Efficient state preparation for a register of quantum bits Efficient state preparation for a register of quantum bits

2004-08-06

arxiv.org/abs/quant-ph/0408045v2

Physics

Quantum Physics

26 pages, 3 figures, extended version

Scientific paper

We describe a quantum algorithm to prepare an arbitrary pure state of a register of a quantum computer with fidelity arbitrarily close to 1. Our algorithm is based on Grover's quantum search algorithm. For sequences of states with suitably bounded amplitudes, the algorithm requires resources that are polynomial in the number of qubits. Such sequences of states occur naturally in the problem of encoding a classical probability distribution in a quantum register.

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