Title
A quantum coupler and the harmonic oscillator interacting with a reservoir: defining the relative phase gate
Abstract
In order to be able to study dissipation, the interaction between a single system andtheir environment was introduced in quantum mechanics. Master and quantum Langevingequations was derived. Moreover, decoherence has been studied using this approach.One of the most commonly used model in this research field is a single harmonic oscillatorinteracting with a reservoir. In this work we analytically solve this model, in theresonance case, using the evolution operator method. Then, we use this result to study aquantum coupler, which is a particular case where there are a finite number of harmonicoscillators interacting with the single one. After that, we focuses in the analisis of theconditional quantum dynamics of the quantum coupler (using the computational basis oftwo qubits) by choosing a proper interaction time. This conditional dynamics providesa realization of a new quantum phase gate, which we call the relative phase gate. To thebest of our knowledge, this phase gate has not been previously defined or proposed.
Year
Venue
Keywords
2010
Quantum Information & Computation
single harmonic oscillatorinteracting,theconditional quantum dynamic,quantum mechanic,phase gate,new quantum phase gate,relative phase gate,single system andtheir environment,quantum Langevingequations,aquantum coupler,quantum coupler
Field
DocType
Volume
Quantum circuit,Open quantum system,Quantum gate,Controlled NOT gate,Quantum mechanics,Quantum dissipation,Quantum algorithm,Quantum error correction,Mathematics,Quantum network
Journal
10
Issue
ISSN
Citations 
3
1533-7146
1
PageRank 
References 
Authors
0.48
1
2
Name
Order
Citations
PageRank
P. C. García Quijas110.48
L. M. AréValo Aguilar210.48