Detecting bit-flip errors in a logical qubit using stabilizer measurements

D. Ristè, S. Poletto, M.-Z. Huang, A. Bruno, V. Vesterinen, O-P. Saira, L. DiCarlo (Corresponding Author)

Research output: Contribution to journalArticleScientificpeer-review

127 Citations (Scopus)

Abstract

Quantum data are susceptible to decoherence induced by the environment and to errors in the hardware processing it. A future fault-tolerant quantum computer will use quantum error correction to actively protect against both. In the smallest error correction codes, the information in one logical qubit is encoded in a two-dimensional subspace of a larger Hilbert space of multiple physical qubits. For each code, a set of non-demolition multi-qubit measurements, termed stabilizers, can discretize and signal physical qubit errors without collapsing the encoded information. Here using a five-qubit superconducting processor, we realize the two parity measurements comprising the stabilizers of the three-qubit repetition code protecting one logical qubit from physical bit-flip errors. While increased physical qubit coherence times and shorter quantum error correction blocks are required to actively safeguard the quantum information, this demonstration is a critical step towards larger codes based on multiple parity measurements.
Original languageEnglish
Article number6983
JournalNature Communications
Volume6
DOIs
Publication statusPublished - 2015
MoE publication typeA1 Journal article-refereed

Fingerprint

Error correction
Parity
Quantum computers
Hilbert spaces
Computer hardware
parity
Demonstrations
quantum computers
Processing
Hilbert space
central processing units
repetition
hardware

Keywords

  • Applied physics
  • Quantum information
  • Qubits
  • Superconducting properties and materials

Cite this

Ristè, D., Poletto, S., Huang, M-Z., Bruno, A., Vesterinen, V., Saira, O-P., & DiCarlo, L. (2015). Detecting bit-flip errors in a logical qubit using stabilizer measurements. Nature Communications, 6, [6983]. https://doi.org/10.1038/ncomms7983
Ristè, D. ; Poletto, S. ; Huang, M.-Z. ; Bruno, A. ; Vesterinen, V. ; Saira, O-P. ; DiCarlo, L. / Detecting bit-flip errors in a logical qubit using stabilizer measurements. In: Nature Communications. 2015 ; Vol. 6.
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Detecting bit-flip errors in a logical qubit using stabilizer measurements. / Ristè, D.; Poletto, S.; Huang, M.-Z.; Bruno, A.; Vesterinen, V.; Saira, O-P.; DiCarlo, L. (Corresponding Author).

In: Nature Communications, Vol. 6, 6983, 2015.

Research output: Contribution to journalArticleScientificpeer-review

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AU - Poletto, S.

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AU - Saira, O-P.

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AB - Quantum data are susceptible to decoherence induced by the environment and to errors in the hardware processing it. A future fault-tolerant quantum computer will use quantum error correction to actively protect against both. In the smallest error correction codes, the information in one logical qubit is encoded in a two-dimensional subspace of a larger Hilbert space of multiple physical qubits. For each code, a set of non-demolition multi-qubit measurements, termed stabilizers, can discretize and signal physical qubit errors without collapsing the encoded information. Here using a five-qubit superconducting processor, we realize the two parity measurements comprising the stabilizers of the three-qubit repetition code protecting one logical qubit from physical bit-flip errors. While increased physical qubit coherence times and shorter quantum error correction blocks are required to actively safeguard the quantum information, this demonstration is a critical step towards larger codes based on multiple parity measurements.

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