Robust gates for holonomic quantum computation

Journal Article · Wed Feb 15 00:00:00 EST 2006 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.73.022327· OSTI ID:20974543

Florio, Giuseppe; Pascazio, Saverio ^[1]; Facchi, Paolo ^[2]; Fazio, Rosario ^[3]; Giovannetti, Vittorio ^[3]

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1. Dipartimento di Fisica, Universita di Bari, I-70126 Bari (Italy)
2. Dipartimento di Matematica, Universita di Bari, I-70125 Bari (Italy)
3. NEST CNR-INFM and Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa (Italy)

Non-Abelian geometric phases are attracting increasing interest because of possible experimental application in quantum computation. We study the effects of the environment (modeled as an ensemble of harmonic oscillators) on a holonomic transformation and write the corresponding master equation. The solution is analytically and numerically investigated and the behavior of the fidelity analyzed: fidelity revivals are observed and an optimal finite operation time is determined at which the gate is most robust against noise.

• OSTI ID: 20974543
• Journal Information: Physical Review. A, Vol. 73, Issue 2; Other Information: DOI: 10.1103/PhysRevA.73.022327; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
HARMONIC OSCILLATORS
MATHEMATICAL SOLUTIONS
NOISE
OPERATION
QUANTUM COMPUTERS
TRANSFORMATIONS