Probabilistic implementation of a nonlocal operation using a nonmaximally entangled state

Journal Article · Sun May 15 04:00:00 EDT 2005 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.71.054302· OSTI ID:20717825

Lin, Chen; Yixin, Chen ^[1]

---

1. Zhejiang Insitute of Modern Physics, Zhejiang University, Hangzhou 310027 (China)

We develop the probabilistic implementation of a nonlocal gate exp[i{xi}{sigma}{sub n{sub A}}{sigma}{sub n{sub B}}] and {xi} set-membership sign [0,({pi}/4)], by using a single nonmaximally entangled state. We prove that nonlocal gates can be implemented with a fidelity of >79.3% and a consumption of <0.969 ebits and two classical bits, when {xi}{<=}0.353. This provides a higher bound for the feasible operation compared to the former techniques. Besides, gates with {xi}{>=}0.353 can be implemented with the probability 79.3% and a consumption of 0.969 ebits, which is the same efficiency as the distillation-based protocol, while our method saves extra classical resources. Gates with {xi}{yields}0 can be implemented with nearly unit probability and a small entanglement. We also generalize some applications to the multiple system, where we find it is possible to implement certain nonlocal gates between many nonentangled partners using a nonmaximally multiple entangled state.

• OSTI ID: 20717825
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 71; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
EFFICIENCY
IMPLEMENTATION
OPERATION
PROBABILISTIC ESTIMATION
PROBABILITY
QUANTUM COMPUTERS
QUANTUM ENTANGLEMENT
QUANTUM MECHANICS