Perfect Quantum Error Correcting Code

Journal Article · Mon Jul 01 04:00:00 EDT 1996 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.77.198· OSTI ID:286044

Laflamme, R; Miquel, C; Paz, J P; Zurek, W H ^[1]

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1. Theoretical Astrophysics, T-6, MS B288, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)

We present a quantum error correction code which protects a qubit of information against general one qubit errors. To accomplish this, we encode the original state by distributing quantum information over five qubits, the minimal number required for this task. We describe a circuit which takes the initial state with four extra qubits in the state {vert_bar}0{r_angle} to the encoded state. It can also be converted into a decoder by running it backward. The original state of the encoded qubit can then be restored by a simple unitary transformation. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 286044
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 1 Vol. 77; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
99 GENERAL AND MISCELLANEOUS
COMPUTER CODES
CORRECTIONS
ERRORS
INFORMATION
QUANTUM MECHANICS
TRANSFORMATIONS
UNITARY SYMMETRY