منابع مشابه
Adiabatic Quantum Search in Open Systems.
Adiabatic quantum algorithms represent a promising approach to universal quantum computation. In isolated systems, a key limitation to such algorithms is the presence of avoided level crossings, where gaps become extremely small. In open quantum systems, the fundamental robustness of adiabatic algorithms remains unresolved. Here, we study the dynamics near an avoided level crossing associated w...
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We analyze the performance of adiabatic quantum computation (AQC) subject to decoherence. To this end, we introduce an inherently open-systems approach, based on a recent generalization of the adiabatic approximation. In contrast to closed systems, we show that a system may initially be in an adiabatic regime, but then undergo a transition to a regime where adiabaticity breaks down. As a conseq...
متن کاملAdiabatic approximation in open quantum systems
We generalize the standard quantum adiabatic approximation to the case of open quantum systems. We define the adiabatic limit of an open quantum system as the regime in which its dynamical superoperator can be decomposed in terms of independently evolving Jordan blocks. We then establish validity and invalidity conditions for this approximation and discuss their applicability to superoperators ...
متن کاملSupplemental Materials for Adiabatic Quantum Search in Open Systems DERIVATION OF THE EFFECTIVE HAMILTONIAN
where |m〉 is the marked state and |ψ0〉 = 1 N ∑N x=1 |x〉. We assume that this Hamiltonian is implemented using L qubits, such that the states |x〉 in the search space are represented by the N = 2 eigenstates of the Pauli operators { σ j } , with j = 1, . . . , L, acting on the individual qubits. We consider the situation where each qubit is coupled to an independent, bosonic bath, described by th...
متن کاملAdiabatic dynamics in open quantum critical many-body systems.
The purpose of this work is to understand the effect of an external environment on the adiabatic dynamics of a quantum critical system. By means of scaling arguments we derive a general expression for the density of excitations produced in the quench as a function of its velocity and of the temperature of the bath. We corroborate the scaling analysis by explicitly solving the case of a one-dime...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2016
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.117.150501