Scheme for unconventional geometric quantum computation in cavity QED

Feng, Xun‐Li; Wang, Zisheng; Wu, Chunfeng; Kwek, Leong Chuan; Lai, Ching-Yi; Oh, C. H.

doi:10.1103/physreva.75.052312

Cited by 50 publications

(18 citation statements)

References 33 publications

(23 reference statements)

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“…Based on such type interaction, the superposition of the coherent states can be prepared in various of systems [48][49][50][51][52][53] . The qubitdependent displacement interaction also has been used to the quantum information processing [54][55][56][57][58][59][60][61][62][63][64][65] , such as generation of unconventional phase gate 60 and multipartite entangled states [61][62][63] . Following the theoretical and experimental study of the QRM 38 , we focus on the simulation of multi-qubit QRM, and we will study its applications to generation of two-qubit quantum gate, Schrödinger cat states and multi-qubit GHZ states.…”

Section: Introductionmentioning

confidence: 99%

Multi-qubit Quantum Rabi Model and Multi-partite Entangled States in a Circuit QED System

Wang

Xiao

et al. 2019

Sci Rep

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Multi-qubit quantum Rabi model, which is a fundamental model describing light-matter interaction, plays an important role in various physical systems. In this paper, we propose a theoretical method to simulate multi-qubit quantum Rabi model in a circuit quantum electrodynamics system. By means of external transversal and longitudinal driving fields, an effective Hamiltonian describing the multi-qubit quantum Rabi model is derived. The effective frequency of the resonator and the effective splitting of the qubits depend on the external driving fields. By adjusting the frequencies and the amplitudes of the driving fields, the stronger coupling regimes could be reached. The numerical simulation shows that our proposal works well in a wide range of parameter space. Moreover, our scheme can be utilized to generate two-qubit gate, Schrödinger states, and multi-qubit GHZ states. The maximum displacement of the Schrödinger cat states can be enhanced by increasing the number of the qubits and the relative coupling strength. It should be mention that we can obtain high fidelity Schrödinger cat states and multi-qubit GHZ states even the system suffering dissipation. The presented proposal may open a way to study the stronger coupling regimes whose coupling strength is far away from ultrastrong coupling regimes.

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Section: Introductionmentioning

confidence: 99%

Multi-qubit Quantum Rabi Model and Multi-partite Entangled States in a Circuit QED System

Wang

Xiao

et al. 2019

Sci Rep

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“…where , , , and . The phase ϕ ij accumulated by the state | ij 〉 via the interaction between flux qubits and the resonators is the unconventional geometric phase 40 47 48 49 and hence the phase ϕ ij is robust against certain type of noise as it bears global geometric features.…”

Section: Resultsmentioning

confidence: 99%

Ultrafast quantum computation in ultrastrongly coupled circuit QED systems

Wang

Guo

Zhang

et al. 2017

Sci Rep

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The latest technological progress of achieving the ultrastrong-coupling regime in circuit quantum electrodynamics (QED) systems has greatly promoted the developments of quantum physics, where novel quantum optics phenomena and potential computational benefits have been predicted. Here, we propose a scheme to accelerate the nontrivial two-qubit phase gate in a circuit QED system, where superconducting flux qubits are ultrastrongly coupled to a transmission line resonator (TLR), and two more TLRs are coupled to the ultrastrongly-coupled system for assistant. The nontrivial unconventional geometric phase gate between the two flux qubits is achieved based on close-loop displacements of the three-mode intracavity fields. Moreover, as there are three resonators contributing to the phase accumulation, the requirement of the coupling strength to realize the two-qubit gate can be reduced. Further reduction in the coupling strength to achieve a specific controlled-phase gate can be realized by adding more auxiliary resonators to the ultrastrongly-coupled system through superconducting quantum interference devices. We also present a study of our scheme with realistic parameters considering imperfect controls and noisy environment. Our scheme possesses the merits of ultrafastness and noise-tolerance due to the advantages of geometric phases.

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“…Known as the GP factor, this contribution originates from the very heart of the structure of quantum mechanics. The GP is attractive for the implementations of fault-tolerant quantum computation [ 21 , 22 , 23 , 24 , 25 ]. The idea is to exploit this inherent robustness provided by the topological properties of some quantum systems as a means of constructing built-in fault-tolerant quantum logic gates.…”

Section: Introductionmentioning

confidence: 99%

Quantum Quantifiers for an Atom System Interacting with a Quantum Field Based on Pseudoharmonic Oscillator States

Raffah

Berrada

2018

Entropy

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Abstract:We develop a useful model considering an atom-field system interaction in the framework of pseudoharmonic oscillators. We examine qualitatively the different physical quantities for a two-level atom (TLA) system interacting with a quantized coherent field in the context of photon-added coherent states of pseudoharmonic oscillators. Using these coherent states, we solve the model that exhibits the interaction between the TLA and field associated with these kinds of potentials. We analyze the temporal evolution of the entanglement, statistical properties, geometric phase and squeezing entropies. Finally, we show the relationship between the physical quantities and their dynamics in terms of the physical parameters.

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Scheme for unconventional geometric quantum computation in cavity QED

Cited by 50 publications

References 33 publications

Multi-qubit Quantum Rabi Model and Multi-partite Entangled States in a Circuit QED System

Multi-qubit Quantum Rabi Model and Multi-partite Entangled States in a Circuit QED System

Ultrafast quantum computation in ultrastrongly coupled circuit QED systems

Quantum Quantifiers for an Atom System Interacting with a Quantum Field Based on Pseudoharmonic Oscillator States

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