Comparison of a quantum error-correction threshold for exact and approximate errors

Comparison of a quantum error-correction threshold for exact and approximate errors

Classical simulations of noisy stabilizer circuits are often used to estimate the threshold of a quantum errorcorrecting code. Physical noise sources are efficiently approximated by random insertions of Pauli operators. For a single qubit, more accurate approximations that still allow for efficient simulation can be obtained by including Clifford operators and Pauli operators conditional on mea...

Approximate Quantum Error Correction

X iv :q ua nt -p h/ 01 12 10 6v 1 1 8 D ec 2 00 1 Approximate quantum error correction Benjamin Schumacher and Michael D. Westmoreland February 1, 2008 Department of Physics, Kenyon College, Gambier, OH 43022 USA Department of Mathematical Sciences, Denison University, Granville, OH 43023 USA Abstract The errors that arise in a quantum channel can be corrected perfectly if and only if the chann...

Quantum error correction for continuously detected errors

Entanglement and Approximate Quantum Error Correction

The possibility of performing quantum error correction obviously lies behind and justifies the vast efforts made up to now in order to develop quantum computation techniques, since it allows fault-tolerant computationeven when quantum systems—in fact extremely sensitive to noise—are considered as the basic carriers of information. Besides well-known algebraic conditions for exact quantum error ...

Quantum Error Correction of Time-correlated Errors

The complexity of the error correction circuitry forces us to design quantum error correction codes capable of correcting a single error per error correction cycle. Yet, time-correlated error are common for physical implementations of quantum systems; an error corrected during the previous cycle may reoccur in the next cycle due to physical processes specific for each physical implementation of...