Method for reducing decoherence in quantum computer memory

Details Method for reducing decoherence in quantum computer memory Method for reducing decoherence in quantum computer memory

1995-10-26

1998-06-16

Baker, Stephen M.

Excavating

G06F 1108

Patent

active

057682976

ABSTRACT:
The present invention is a methodology for reducing the rate of decoherence in quantum memory. A procedure is disclosed for storing an arbitrary state of n qubits using expanded groupings of these n qubits in a decoherence-resistant manner. Each qubit of the original n qubits is mapped into a grouping of qubits, and the process will reconstruct the original superposition simultaneously correcting both bit and phase errors if at most one qubit decoheres in each of these groups of qubits. In one preferred embodiment of the present invention, a method is disclosed for decoding a set of N'(2m+1) qubits, wherein the set of N'(2m+1) exposed qubits has undergone possible decoherence from a superposition of states due to exposure to an environment. The method comprises the steps of decoding the set of N'(2m+1) exposed qubits using a repetition decoder to yield a set of N' decoded qubits, applying a first transformation to each decoded qubit in the set of said N' decoded qubits to yield a set of N' transformed decoded qubits, wherein the first transformation is represented as a unitary matrix comprising matrix entries of equal absolute value, and decoding the set of N' transformed decoded qubits using an error correcting decoder to yield a set of n decoded qubits.

REFERENCES:
Lloyd, "Quantum-Mechanical Computers", Oct. 1995, Scientific American.
Cirac, et al., "Quantum Computations with Cold Trapped Ions", May 1995, Physical Review Letters.
Brown, "A Quantum Revolution for Computing", Sep. 1994, New Scientist.
Hayes, "The Square Root of NOT", Jul. 1995, Computing Science.
Brassard, "A Quantum Jump in Computer Science", 1995, Computer Science Today.

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