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

arXiv:quant-ph/9712005 · Physical Review A

Prevention of dissipation with two particles

L.-M. Duan, Guang‐Can Guo

Published Apr 1, 1998• 64 citations
arXivHTMLPDF

Abstract

An error prevention procedure based on two-particle encoding is proposed for protecting an arbitrary unknown quantum state from dissipation, such as phase damping and amplitude damping. The schemes, which exhibits manifestation of the quantum Zeno effect, is effective whether quantum bits are decohered independently or cooperatively. We derive the working condition of the scheme, and argue that this procedure has feasible practical implementation.

DOI
10.1103/physreva.57.2399

Related papers

Error-prevention scheme with two pairs of qubits

Chui‐Ping Yang, Shih‐I Chu, Siyuan Han

A scheme is presented for protecting one-qubit quantum information against decoherence due to a general environment and local exchange interactions. The scheme operates essentially by distributing information over two pairs of qubits and through error-prevention procedures. In the scheme, quantum information is encoded through a decoherence-free subspace for collective phase errors and exchange errors affecting the qubits in pairs; leakage out of the encoding space due to amplitude damping is reduced by quantum Zeno effect. In addition, how to construct decoherence-free states for n-qubit information against phase and exchange errors is discussed.

arXiv:quant-ph/0207063•Physical Review A•Sep 4, 2002•7 citations

Error prevention scheme with four particles

Lev Vaidman A, Lior Goldenberg, Stephen J. Wiesner

It is shown that a simplified version of the error correction code recently suggested by Shor [Phys. Rev. A 52, R2493 (1995)] exhibits manifestation of the quantum Zeno effect. Thus, under certain conditions, protection of an unknown quantum state is achieved. Error prevention procedures based on four-particle and two-particle encoding are proposed and it is argued that they have feasible practical implementations.

arXiv:quant-ph/9603031•Physical Review A•Sep 1, 1996•115 citations

Preserving Coherence in Quantum Computation by Pairing Quantum Bits

L.-M. Duan, Guang‐Can Guo

A scheme for protecting quantum states from both independent and cooperative decoherence is proposed. The scheme operates by pairing each qubit (two-state quantum system) with an ancilla qubit and by encoding the states of the qubits into corresponding coherence-preserving states of qubit pairs. In this scheme, amplitude damping (loss of energy) as well as phase damping (dephasing) is prevented by a strategy called ``free-Hamiltonian elimination.'' We further extend the scheme to include quantum gate operations and show that loss and decoherence during such operations can also be prevented.

arXiv:quant-ph/9703040•Physical Review Letters•Sep 8, 1997•556 citations

Prevention of Dissipation with Two Qubits Based on Quantun Zeno Effect

Ping Chen

This paper explains the operation that can make a quantum system collapse into the intial state. The operation can be regarded as measurement in quantum zeno effect. A scheme which is simple and feasible to implement theoretically is proposed by even times of quantum cotrolled NOT opertion.

•Jan 1, 1999•0 citations

Correcting quantum errors with the Zeno effect

Noam Erez A, Yakir Aharonov, Benni Reznik +1 more

In order to reduce errors, error correction codes need to be implemented fast. They can correct the errors corresponding to the first few orders in the Taylor expansion of the time evolution operator corresponding to the Hamiltonian of the interaction with the environment. If implemented fast enough, the zeroth order error predominates and the dominant effect is of error prevention by measurement (Zeno effect) rather than correction. In this ``Zeno regime,'' codes with less redundancy are sufficient for protection. We describe such a simple scheme, which uses two ``noiseless'' qubits to protect a large number, $n$, of information qubits from noise from the environment. The ``noisless qubits'' can be realized by treating them as logical qubits to be encoded by one of the previously introduced encoding schemes.

arXiv:quant-ph/0309162•Physical Review A•Jun 15, 2004•22 citations

Optimal quantum codes for preventing collective amplitude damping

L.-M. Duan, Guang‐Can Guo

Collective decoherence is possible if the distance between quantum bits is smaller than the effective wavelength of the noise field. Collectivity in the decoherence helps us to devise more efficient quantum codes. We present a class of optimal quantum codes for preventing collective amplitude damping to a reservoir at zero temperature. It is shown that two quantum bits (qubits) are enough to protect one bit quantum information, and approximately $L+\frac{1}{2}{\mathrm{ln}}_{2}(\ensuremath{\pi}L/2)$ qubits are enough to protect L-qubit information when L is large. For preventing collective amplitude damping, these codes are much more efficient than the previously discovered quantum error correcting or avoiding codes.

arXiv:quant-ph/9804014•Physical Review A•Nov 1, 1998•62 citations
An error prevention procedure based on two-particle encoding is proposed for protecting an arbitrary unknown quantum state from dissipation, such as phase damping and amplitude damping. The schemes, which exhibits manifestation of the quantum Zeno effect, is effective whether quantum bits are decohered independently or cooperatively. We derive the working condition of the scheme, and argue that this procedure has feasible practical implementation.
A scheme is presented for protecting one-qubit quantum information against decoherence due to a general environment and local exchange interactions. The scheme operates essentially by distributing information over two pairs of qubits and through error-prevention procedures. In the scheme, quantum information is encoded through a decoherence-free subspace for collective phase errors and exchange errors affecting the qubits in pairs; leakage out of the encoding space due to amplitude damping is reduced by quantum Zeno effect. In addition, how to construct decoherence-free states for n-qubit information against phase and exchange errors is discussed.
A scheme for protecting quantum states from both independent and cooperative decoherence is proposed. The scheme operates by pairing each qubit (two-state quantum system) with an ancilla qubit and by encoding the states of the qubits into corresponding coherence-preserving states of qubit pairs. In this scheme, amplitude damping (loss of energy) as well as phase damping (dephasing) is prevented by a strategy called ``free-Hamiltonian elimination.'' We further extend the scheme to include quantum gate operations and show that loss and decoherence during such operations can also be prevented.
In order to reduce errors, error correction codes need to be implemented fast. They can correct the errors corresponding to the first few orders in the Taylor expansion of the time evolution operator corresponding to the Hamiltonian of the interaction with the environment. If implemented fast enough, the zeroth order error predominates and the dominant effect is of error prevention by measurement (Zeno effect) rather than correction. In this ``Zeno regime,'' codes with less redundancy are sufficient for protection. We describe such a simple scheme, which uses two ``noiseless'' qubits to protect a large number, nnn, of information qubits from noise from the environment. The ``noisless qubits'' can be realized by treating them as logical qubits to be encoded by one of the previously introduced encoding schemes.
Collective decoherence is possible if the distance between quantum bits is smaller than the effective wavelength of the noise field. Collectivity in the decoherence helps us to devise more efficient quantum codes. We present a class of optimal quantum codes for preventing collective amplitude damping to a reservoir at zero temperature. It is shown that two quantum bits (qubits) are enough to protect one bit quantum information, and approximately $L+\frac{1}{2}{\mathrm{ln}}_{2}(\ensuremath{\pi}L/2)$ qubits are enough to protect L-qubit information when L is large. For preventing collective amplitude damping, these codes are much more efficient than the previously discovered quantum error correcting or avoiding codes.