Bound on quantum computation time: Quantum error correction in a critical environment
Publication
, Journal Article
Novais, E; Mucciolo, ER; Baranger, HU
Published in: Physical Review A - Atomic, Molecular, and Optical Physics
August 31, 2010
We obtain an upper bound on the time available for quantum computation for a given quantum computer and decohering environment with quantum error correction implemented. First, we derive an explicit quantum evolution operator for the logical qubits and show that it has the same form as that for the physical qubits but with a reduced coupling strength to the environment. Using this evolution operator, we find the trace distance between the real and ideal states of the logical qubits in two cases. For a super-Ohmic bath, the trace distance saturates, while for Ohmic or sub-Ohmic baths, there is a finite time before the trace distance exceeds a value set by the user. © 2010 The American Physical Society.
Duke Scholars
Published In
Physical Review A - Atomic, Molecular, and Optical Physics
DOI
EISSN
1094-1622
ISSN
1050-2947
Publication Date
August 31, 2010
Volume
82
Issue
2
Related Subject Headings
- General Physics
- 03 Chemical Sciences
- 02 Physical Sciences
- 01 Mathematical Sciences
Citation
APA
Chicago
ICMJE
MLA
NLM
Novais, E., Mucciolo, E. R., & Baranger, H. U. (2010). Bound on quantum computation time: Quantum error correction in a critical environment. Physical Review A - Atomic, Molecular, and Optical Physics, 82(2). https://doi.org/10.1103/PhysRevA.82.020303
Novais, E., E. R. Mucciolo, and H. U. Baranger. “Bound on quantum computation time: Quantum error correction in a critical environment.” Physical Review A - Atomic, Molecular, and Optical Physics 82, no. 2 (August 31, 2010). https://doi.org/10.1103/PhysRevA.82.020303.
Novais E, Mucciolo ER, Baranger HU. Bound on quantum computation time: Quantum error correction in a critical environment. Physical Review A - Atomic, Molecular, and Optical Physics. 2010 Aug 31;82(2).
Novais, E., et al. “Bound on quantum computation time: Quantum error correction in a critical environment.” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 82, no. 2, Aug. 2010. Scopus, doi:10.1103/PhysRevA.82.020303.
Novais E, Mucciolo ER, Baranger HU. Bound on quantum computation time: Quantum error correction in a critical environment. Physical Review A - Atomic, Molecular, and Optical Physics. 2010 Aug 31;82(2).
Published In
Physical Review A - Atomic, Molecular, and Optical Physics
DOI
EISSN
1094-1622
ISSN
1050-2947
Publication Date
August 31, 2010
Volume
82
Issue
2
Related Subject Headings
- General Physics
- 03 Chemical Sciences
- 02 Physical Sciences
- 01 Mathematical Sciences