Efficient Quantum Circuits for Non-Qubit Quantum Error-Correcting Codes

Details Efficient Quantum Circuits for Non-Qubit Quantum Error-Correcting Codes Efficient Quantum Circuits for Non-Qubit Quantum Error-Correcting Codes

2002-11-04

arxiv.org/abs/quant-ph/0211014v1

International Journal of Foundations of Computer Science (IJFCS), Vol. 14, No. 5 (2003), pp. 757-775

Physics

Quantum Physics

18 pages, submitted to special issue of IJFCS

Scientific paper

10.1142/S0129054103002011

We present two methods for the construction of quantum circuits for quantum error-correcting codes (QECC). The underlying quantum systems are tensor products of subsystems (qudits) of equal dimension which is a prime power. For a QECC encoding k qudits into n qudits, the resulting quantum circuit has O(n(n-k)) gates. The running time of the classical algorithm to compute the quantum circuit is O(n(n-k)^2).

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