Noncyclic geometric quantum computation in a nuclear-magnetic-resonance system

Journal Article · Fri May 15 00:00:00 EDT 2009 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.79.054301· OSTI ID:21313139

Wang, Z S; Liu, G Q; Ji, Y H ^[1]

---

1. College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022 (China) and Key Laboratory of Optoelectronic and Telecommunication of Jiangxi, Nanchang, Jiangxi 330022 (China)

A scheme is proposed to include both cyclic and noncyclic geometric quantum computations in nuclear-magnetic-resonance system by the invariant theory. By controlling magnetic field and arbitrary parameters in the invariant operator, the phases accumulated in the entangling quantum gates for single- and two-qubit systems are pure geometric phases. Thus, fault tolerance may occur in some critical magnetic field parameters for either cyclic or noncyclic evolution by differently choosing for gate time.

• OSTI ID: 21313139
• Journal Information: Physical Review. A, Vol. 79, Issue 5; Other Information: DOI: 10.1103/PhysRevA.79.054301; (c) 2009 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
GEOMETRY
MAGNETIC FIELDS
NUCLEAR MAGNETIC RESONANCE
QUANTUM COMPUTERS
QUANTUM ENTANGLEMENT
TOLERANCE