METHOD AND APPARATUS FOR QUANTUM HOLOGRAPHIC INFORMATION PROCESSING

摘要

Encoding of quantum algorithm and devices therefrom are provided. The encoding includes receiving a unitary matrix operator representing the quantum algorithm, each row of the unitary matrix operator defining a superposition of basis state vectors for transforming input states to output states. The encoding also includes recording rows of the unitary matrix operator by applying, to a volume holographic element, a combination of an ith one of n reference waves and a superposition of n signal waves defined by the superposition defined in an ith row of the unitary matrix operator. The n signal waves are a first set of n plane waves lying on a first conical surface having a first half angle and the n reference waves are a second set of n plane waves lying on a second conical surface, concentric with the first conical surface, with a second half angle different that the first half angle.

主权项

1. A method of encoding a quantum algorithm in an optical device, comprising:
receiving an n by n unitary matrix operator representing the quantum algorithm, each row of the unitary matrix operator defining a superposition of n basis state vectors for transforming an input state into an output state; recording each row of the unitary matrix operator by applying, to a volume holographic element having first and second opposing and substantially parallel faces, a combination of an ith one of n reference waves and a superposition of n signal waves defined by the superposition defined in an ith row of the unitary matrix operator, wherein the n signal waves comprise a first set of n plane waves lying on a first conical surface having a first half angle and that extends from a selected point on a first face of the volume holographic element, wherein the n reference waves comprise a second set of n plane waves lying on a second conical surface with a second half angle different than the first half angle and that extends from the selected point, and wherein the first conical surface and the second conical surfaces are concentric.