Hilbert Space Average Method and adiabatic quantum search
arXiv:0810.1456 · doi:10.1103/PhysRevA.79.012314
Abstract
We discuss some aspects related to the so-called Hilbert space Average Method, as an alternative to describe the dynamics of open quantum systems. First we present a derivation of the method which does not make use of the algebra satisfied by the operators involved in the dynamics, and extend the method to systems subject to a Hamiltonian that changes with time. Next we examine the performance of the adiabatic quantum search algorithm with a particular model for the environment. We relate our results to the criteria discussed in the literature for the validity of the above-mentioned method for similar environments.
6 pages, 1 figure
References in corpus (18)
- Quantum Mechanics helps in searching for a needle in a haystack
- Tight bounds on quantum searching
- Quantum Search by Local Adiabatic Evolution
- Robustness of adiabatic quantum computation
- Adiabatic Quantum Computation in Open Systems
- Objective properties from subjective quantum states: Environment as a witness
- Adiabatic approximation in open quantum systems
- Optimal Dynamical Decoherence Control of a Qubit
- Non-Markovian quantum dynamics: Correlated projection superoperators and Hilbert space averaging
- Thermally assisted adiabatic quantum computation
- Optimal Decoherence Control in non-Markovian Open, Dissipative Quantum Systems
- Decoherence in a scalable adiabatic quantum computer
- Robustness of the adiabatic quantum search
- Non-Markovian decoherence in the adiabatic quantum search algorithm
- The quantum adiabatic search with decoherence in the instantaneous energy eigenbasis
- Energy and Efficiency of Adiabatic Quantum Search Algorithms
- Quantum decoherence reduction by increasing the thermal bath temperature
- Non adiabatic quantum search algorithms