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

Symmetry-Driven Coherence Preservation in Open Quantum Systems: From a Negative Single-Qubit Specificity Audit to a Locked Two-Qubit Decoherence-Free-Subspace Benchmark

Marcel Krüger, Don Feeney

Published Jul 24, 2026• 0 citations
Publisher
DOI
10.13140/rg.2.2.23173.10720

Related papers

Entanglement dynamics of coupled qubits and a semi-decoherence free subspace

Gabriele Campagnano, Alioscia Hamma, Ulrich Weiß

arXiv:0807.1987•Physics Letters A•Nov 5, 2009•11 citations

Symmetry-Driven Coherence Preservation in Open Quantum Systems: From a Negative Single-Qubit Specificity Audit to a Locked Two-Qubit Decoherence-Free-Subspace Benchmark

Krüger, Marcel, Feeney, Don Michael Jr

Decoherence is a fundamental limitation in open quantum systems, yet recent developments indicate that coherence loss need not be strictly irreversible. In this work, we introduce a symmetrydriven coherence restoration (SDCR) framework in which structured temporal and geometric symmetries suppress dominant decohering channels without modifying fundamental quantum dynamics. The framework is formulated within a conservative extension of open-system theory and does not introduce new particles, interactions, or collapse mechanisms. Instead, SDCR emerges from symmetry alignment in an extended dynamical structure, leading to small but systematic phase corrections while preserving standard scaling relations. We provide a unified description across Lindblad, Redfield, and influence-functional formulations and demonstrate that SDCR admits a compact algebraic embedding using octonionic structures as an internal organizational tool. Phenomenological implications are discussed for neutrino oscillations, interferometry, and precision gravimetry, where SDCR predicts experimentally accessible signatures within current and near-future sensitivities. The framework is explicitly falsifiable and reduces to standard decoherence in the absence of symmetry alignment. SDCR thus provides a conservative and testable geometric perspective on coherence control in open quantum systems.

•Dec 15, 2025•0 citations

Initial decoherence and disentanglement of open two-qubit systems

Xian-Ting Liang

arXiv:quant-ph/0507226•Physics Letters A•Sep 20, 2005•6 citations

On the Complexity of Finding Decoherence Free Subspaces

Evan Borras

Decoherence free subspaces are a steady-state structure of the open quantum system which preserves quantum coherence between the states lying with in it and thus has found a variety of applications throughout quantum information science and technology. In this paper we study the computational complexity of deciding whether an open quantum system admits a decoherence free subspace or not. More specifically we study this problem with in the context of Markovian open quantum systems, governed by the time-independent Lindblad master equation. Along the way we introduce the $k$-Local Lindbladian problem, which captures the difficulty of computing purity decay rates under Lindbladian dynamics. We show that both problems are hard for the complexity class Quantum Merlin Arthur (QMA) when the locality $k \geq 5$, with the first under perfect completeness and the second being complete for QMA. Our hardness construction generalizes Kitaev's clock Hamiltonian construction to the open quantum system setting by encoding the execution of a quantum circuit into the steady subspace of a Lindbladian containing both pure and mixed history states. This subspace is then mixed depending on the output of the encoded circuit. Our results suggest that deciding whether a generic Markovian open quantum system admits a decoherence free subspace is intractable even for quantum computation.

quant-pharXiv:2609.26769•Sep 23, 2026•0 citations

Decoherence-free subspaces for multiple-qubit errors. I. Characterization

Daniel A. Lidar, Dave Bacon, Julia Kempe +1 more

Coherence in an open quantum system is degraded through its interaction with a bath. This decoherence can be avoided by restricting the dynamics of the system to special decoherence-free subspaces. These subspaces are usually constructed under the assumption of spatially symmetric system-bath coupling. Here we show that decoherence-free subspaces may appear without spatial symmetry. Instead, we consider a model of system-bath interactions in which to first order only multiple-qubit coupling to the bath is present, with single-qubit system-bath coupling absent. We derive necessary and sufficient conditions for the appearance of decoherence-free states in this model, and give a number of examples. In a sequel paper we show how to perform universal and fault tolerant quantum computation on the decoherence-free subspaces considered in this paper.

arXiv:quant-ph/9908064•Physical Review A•Jan 17, 2001•89 citations

Dynamically generated decoherence-free subspaces and subsystems on superconducting qubits

Gregory Quiroz, Bibek Pokharel, Joseph Boen +7 more

Decoherence-free subspaces and subsystems (DFS) preserve quantum information by encoding it into symmetry-protected states unaffected by decoherence. An inherent DFS of a given experimental system may not exist; however, through the use of dynamical decoupling (DD), one can induce symmetries that support DFSs. Here, we provide the first experimental demonstration of DD-generated decoherence-free subsystem logical qubits. Utilizing IBM Quantum superconducting processors, we investigate two and three-qubit DFS codes comprising up to six and seven noninteracting logical qubits, respectively. Through a combination of DD and error detection, we show that DFS logical qubits can achieve up to a 23% improvement in state preservation fidelity over physical qubits subject to DD alone. This constitutes a beyond-breakeven fidelity improvement for DFS-encoded qubits. Our results showcase the potential utility of DFS codes as a pathway toward enhanced computational accuracy via logical encoding on quantum processors.

arXiv:2402.07278•Reports on Progress in Physics•Jul 26, 2024•11 citations
Decoherence is a fundamental limitation in open quantum systems, yet recent developments indicate that coherence loss need not be strictly irreversible. In this work, we introduce a symmetrydriven coherence restoration (SDCR) framework in which structured temporal and geometric symmetries suppress dominant decohering channels without modifying fundamental quantum dynamics. The framework is formulated within a conservative extension of open-system theory and does not introduce new particles, interactions, or collapse mechanisms. Instead, SDCR emerges from symmetry alignment in an extended dynamical structure, leading to small but systematic phase corrections while preserving standard scaling relations. We provide a unified description across Lindblad, Redfield, and influence-functional formulations and demonstrate that SDCR admits a compact algebraic embedding using octonionic structures as an internal organizational tool. Phenomenological implications are discussed for neutrino oscillations, interferometry, and precision gravimetry, where SDCR predicts experimentally accessible signatures within current and near-future sensitivities. The framework is explicitly falsifiable and reduces to standard decoherence in the absence of symmetry alignment. SDCR thus provides a conservative and testable geometric perspective on coherence control in open quantum systems.
Decoherence free subspaces are a steady-state structure of the open quantum system which preserves quantum coherence between the states lying with in it and thus has found a variety of applications throughout quantum information science and technology. In this paper we study the computational complexity of deciding whether an open quantum system admits a decoherence free subspace or not. More specifically we study this problem with in the context of Markovian open quantum systems, governed by the time-independent Lindblad master equation. Along the way we introduce the kkk-Local Lindbladian problem, which captures the difficulty of computing purity decay rates under Lindbladian dynamics. We show that both problems are hard for the complexity class Quantum Merlin Arthur (QMA) when the locality k≥5k \geq 5k≥5, with the first under perfect completeness and the second being complete for QMA. Our hardness construction generalizes Kitaev's clock Hamiltonian construction to the open quantum system setting by encoding the execution of a quantum circuit into the steady subspace of a Lindbladian containing both pure and mixed history states. This subspace is then mixed depending on the output of the encoded circuit. Our results suggest that deciding whether a generic Markovian open quantum system admits a decoherence free subspace is intractable even for quantum computation.
Coherence in an open quantum system is degraded through its interaction with a bath. This decoherence can be avoided by restricting the dynamics of the system to special decoherence-free subspaces. These subspaces are usually constructed under the assumption of spatially symmetric system-bath coupling. Here we show that decoherence-free subspaces may appear without spatial symmetry. Instead, we consider a model of system-bath interactions in which to first order only multiple-qubit coupling to the bath is present, with single-qubit system-bath coupling absent. We derive necessary and sufficient conditions for the appearance of decoherence-free states in this model, and give a number of examples. In a sequel paper we show how to perform universal and fault tolerant quantum computation on the decoherence-free subspaces considered in this paper.
Decoherence-free subspaces and subsystems (DFS) preserve quantum information by encoding it into symmetry-protected states unaffected by decoherence. An inherent DFS of a given experimental system may not exist; however, through the use of dynamical decoupling (DD), one can induce symmetries that support DFSs. Here, we provide the first experimental demonstration of DD-generated decoherence-free subsystem logical qubits. Utilizing IBM Quantum superconducting processors, we investigate two and three-qubit DFS codes comprising up to six and seven noninteracting logical qubits, respectively. Through a combination of DD and error detection, we show that DFS logical qubits can achieve up to a 23% improvement in state preservation fidelity over physical qubits subject to DD alone. This constitutes a beyond-breakeven fidelity improvement for DFS-encoded qubits. Our results showcase the potential utility of DFS codes as a pathway toward enhanced computational accuracy via logical encoding on quantum processors.