Simulation of some quantum gates, with decoherence

Details Simulation of some quantum gates, with decoherence Simulation of some quantum gates, with decoherence

2006-11-16

arxiv.org/abs/cond-mat/0611445v2

Phys.Rev.B75:184507,2007

Physics

Condensed Matter

Superconductivity

26 pages, 15 figures, Some clarification added on decoherence treatment, many small errors corrected, symbols on some figures

Scientific paper

10.1103/PhysRevB.75.184507

Methods and results for numerical simulations of one and two interacting rf-Squid systems suitable for adiabatic quantum gates are presented. These are based on high accuracy numerical solutions to the static and time dependent Schroedinger equation for the full Squid Hamiltonian in one and two variables. Among the points examined in the static analysis is the range of validity of the effective two-state or ``spin 1/2'' picture. A range of parameters is determined where the picture holds to good accuracy as the energy levels undergo gate manipulations. Some general points are presented concerning the relations between device parameters and ``good'' quantum mechanical state spaces. The time dependent simulations allow the examination of suitable conditions for adiabatic behavior, and permits the introduction of a random noise to simulate the effects of decoherence. A formula is derived and tested relating the random noise to the decoherence rate. Sensitivity to device and operating parameters for the logical gates NOT and CNOT are examined, with particular attention to values of the tunnel parameter beta slightly above one. It appears that with values of beta close to one, a quantum CNOT gate is possible even with rather short decoherence times. Many of the methods and results will apply to coupled double-potential well systems in general.

Affiliated with

Also associated with

No associations

Rating

Simulation of some quantum gates, with decoherence does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Simulation of some quantum gates, with decoherence, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Simulation of some quantum gates, with decoherence will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-622818