Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Physics B Atomic Molecular and Optical Physics

Protocol and quantum circuit for implementing theN-bit discrete quantum Fourier transform in cavity QED

Hong‐Fu Wang, Xiao‐Qiang Shao, Yongfang Zhao, Shou Zhang, Kyu-Hwang Yeon

Published Mar 3, 2010• 15 citations
Publisher

Abstract

We present a simple protocol and quantum circuit for efficient implementation of the N-bit discrete quantum Fourier transform by using two-qubit controlled-NOT gate and SWCZ gate that is a combination of -SWAP and controlled-Z gates in cavity quantum electrodynamics. In this protocol long-lived electronic states in circular Rydberg atoms are used as quantum bits and the one-bit and two-bit quantum gate operations required for implementing the discrete quantum Fourier transform in the quantum circuit can be easily achieved with atom–microwave resonant interaction and atom–cavity interaction occurring only between two nearest-neighbour atoms. We present the detailed experimental procedure and analyse the experimental feasibility.

DOI
10.1088/0953-4075/43/6/065503

Related papers

Simple implementation of discrete quantum Fourier transform via cavity quantum electrodynamics

Hong‐Fu Wang, Ai‐Dong Zhu, Shou Zhang +1 more

We propose a scheme for implementing discrete quantum Fourier transform in cavity quantum electrodynamics (QED). The experimental implementation is appealingly simple because the combined effect of the complex controlled- R k gate and SWAP gate operations required for implementing discrete quantum Fourier transform in the naive quantum circuit is replaced by the one-step CR k S gate, which can be directly implemented via atom–cavity interaction with the assistance of classical fields. We propose the detailed experimental procedure and analyze the experimental feasibility. The experimental implementation of the scheme would show the full power of quantum algorithm and would open wide prospects for more complicated quantum computation with atoms in QED.

New Journal of Physics•Jan 17, 2011•37 citations

Efficient quantum circuit for implementing discrete quantum Fourier transform in solid-state qubits

Hong‐Fu Wang, Xinxin Jiang, Shou Zhang +1 more

Based on the iSWAP gate generated from the XY interaction between solid-state qubits, we present an efficient quantum circuit for the implementation of discrete quantum Fourier transform. The relatively cumbersome and expensive controlled- R k gate and SWAP gate operations required for implementing discrete quantum Fourier transform in the naive quantum circuit are replaced only by iSWAP gate operation. The scheme can be realized using any physical system with XY interaction and it would be a useful step towards the implementation of more complex quantum computation in solid-state qubits.

Journal of Physics B Atomic Molecular and Optical Physics•May 17, 2011•11 citations

Implementing discrete quantum Fourier transform via superconducting qubits coupled to a superconducting cavity

A.‐S. F. Obada, H. A. Hessian, Abdel-Basset A. Mohamed +1 more

A new physical scheme for implementing an N-bit discrete quantum Fourier transform (DQFT) is proposed via superconducting (SC) qubits coupled to a single-mode SC cavity. Two-qubit and one-qubit gates as well as a new two-qubit gate are realized. Such gates are used for implementing the algorithm of N-bit DQFT. We propose and analyze a detailed experimental procedure for implementing the algorithm and compute the fidelity measure to quantify the success of this algorithm. Estimates show that the protocol can be successfully implemented within the present experimental limits.

Journal of the Optical Society of America B•Apr 11, 2013•35 citations

Quantum search with two-atom collisions in cavity QED

Fumiko Yamaguchi, P. Milman, M. Brune +2 more

We propose a scheme to implement the two-qubit Grover's quantum search algorithm using cavity quantum electrodynamics. In this scheme long-lived electronic states in circular Rydberg atoms are used as quantum bits (qubits). The atoms interact with the electromagnetic field of a nonresonant cavity. The quantum gate dynamics is provided by a cavity-assisted collision. We present the detailed procedure and analyze the experimental feasibility.

arXiv:quant-ph/0203146•Physical Review A•Jul 24, 2002•82 citations

Scheme for Remote Implementation of Partially Unknown Quantum Operation of Two Qubits in Cavity QED

Qiu Liang, Wang An-Min

By constructing the recovery operations of the protocol of remote implementation of partially unknown quantum operation of two qubits [An-Min Wang: Phys. Rev. A 74 (2006) 032317] with two-qubit Cnot gate and single qubit logic gates, we present a scheme to implement it in cavity QED. Long-lived Rydberg atoms are used as qubits, and the interaction between the atoms and the field of cavity is a nonresonant one. Finally, we analyze the experimental feasibility of this scheme.

arXiv:quant-ph/0701197•Communications in Theoretical Physics•Nov 1, 2008•12 citations

Quantum search with two atom collisions in cavity QED

J. M. Raimond, M. Brune, P. Milman +2 more

We propose a scheme to implement two-qubit Grover's quantum search algorithm using Cavity Quantum Electrodynamics.Circular Rydberg atoms are used as quantum bits (qubits).They interact with the electromagnetic field of a non-resonant cavity .The quantum gate dynamics is provided by a cavity-assisted collision, robust against decoherence processes.We present the detailed procedure and analyze the experimental feasibility.

•Jan 1, 2002•2 citations
We present a simple protocol and quantum circuit for efficient implementation of the N-bit discrete quantum Fourier transform by using two-qubit controlled-NOT gate and SWCZ gate that is a combination of -SWAP and controlled-Z gates in cavity quantum electrodynamics. In this protocol long-lived electronic states in circular Rydberg atoms are used as quantum bits and the one-bit and two-bit quantum gate operations required for implementing the discrete quantum Fourier transform in the quantum circuit can be easily achieved with atom–microwave resonant interaction and atom–cavity interaction occurring only between two nearest-neighbour atoms. We present the detailed experimental procedure and analyse the experimental feasibility.
We propose a scheme for implementing discrete quantum Fourier transform in cavity quantum electrodynamics (QED). The experimental implementation is appealingly simple because the combined effect of the complex controlled- R k gate and SWAP gate operations required for implementing discrete quantum Fourier transform in the naive quantum circuit is replaced by the one-step CR k S gate, which can be directly implemented via atom–cavity interaction with the assistance of classical fields. We propose the detailed experimental procedure and analyze the experimental feasibility. The experimental implementation of the scheme would show the full power of quantum algorithm and would open wide prospects for more complicated quantum computation with atoms in QED.
Based on the iSWAP gate generated from the XY interaction between solid-state qubits, we present an efficient quantum circuit for the implementation of discrete quantum Fourier transform. The relatively cumbersome and expensive controlled- R k gate and SWAP gate operations required for implementing discrete quantum Fourier transform in the naive quantum circuit are replaced only by iSWAP gate operation. The scheme can be realized using any physical system with XY interaction and it would be a useful step towards the implementation of more complex quantum computation in solid-state qubits.
A new physical scheme for implementing an N-bit discrete quantum Fourier transform (DQFT) is proposed via superconducting (SC) qubits coupled to a single-mode SC cavity. Two-qubit and one-qubit gates as well as a new two-qubit gate are realized. Such gates are used for implementing the algorithm of N-bit DQFT. We propose and analyze a detailed experimental procedure for implementing the algorithm and compute the fidelity measure to quantify the success of this algorithm. Estimates show that the protocol can be successfully implemented within the present experimental limits.