Geometric Manipulation of a Decoherence-Free Subspace in Atomic Ensembles

Abstract

We consider an ensemble of atoms with $\Lambda$-type level structure trapped in a single-mode cavity, and propose a geometric scheme of coherent manipulation of quantum states on the subspace of zero-energy states within the quantum Zeno subspace of the system. We find that the particular subspace inherits the decoherence-free nature of the quantum Zeno subspace and features a symmetry-protected degeneracy, fulfilling all the conditions for a universal scheme of arbitrary unitary operations on it.

arXiv comment5 pages with 3 figures. Supplemental Material is available upon request

References in corpus (43)

• Quantum Computing in the NISQ era and beyond
• Fault-tolerant quantum computation by anyons
• Non-Abelian Anyons and Topological Quantum Computation
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Decoherence Free Subspaces for Quantum Computation
• Quantum metrology with nonclassical states of atomic ensembles
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Hybrid quantum circuits: Superconducting circuits interacting with other quantum systems
• Dynamical suppression of decoherence in two-state quantum systems
• Ultrastrong coupling regimes of light-matter interaction
• Holonomic Quantum Computation
• Stimulated Raman adiabatic passage in physics, chemistry and beyond
• Geometric quantum computation with NMR
• Geometric Manipulation of Trapped Ions for Quantum Computation
• Quantum Zeno subspaces
• Quantum Computing Using Dissipation to Remain in a Decoherence-Free Subspace
• Fractional statistics in anyon collisions
• Generating Single Microwave Photons in a Circuit
• Experimental Realization of Nonadiabatic Holonomic Quantum Computation
• Non-adiabatic holonomic quantum computation
• Experimental Realization of Universal Geometric Quantum Gates with Solid-State Spins
• Experimental Realization of Non-Abelian Geometric Gates
• Symmetrizing Evolutions
• Using Parity Kicks for Decoherence Control
• Experimental realization of quantum zeno dynamics
• Single-loop realization of arbitrary non-adiabatic holonomic single-qubit quantum gates in a superconducting circuit
• Detection of multipartite entanglement in the vicinity of symmetric Dicke states
• Shortcuts to adiabatic holonomic quantum computation in decoherence-free subspace with transitionless quantum driving algorithm
• Quantum error correction in the presence of spontaneous emission
• Preparation of Dicke States in an Ion Chain
• Realization of holonomic single-qubit operations
• Quantum Zeno dynamics and quantum Zeno subspaces
• Driving Atoms Into Decoherence-Free States
• Phase Synchronization between Two Superradiant Lasers
• Detecting metrologically useful entanglement in the vicinity of Dicke states
• Preparation of entangled states through Hilbert space engineering
• Practical methods for witnessing genuine multi-qubit entanglement in the vicinity of symmetric states
• Non-Abelian Geometric Quantum Memory with Atomic Ensemble
• Universal speeded-up adiabatic geometric quantum computation in three-level systems via counterdiabatic driving
• Entangling power of holonomic gates in atom-cavity systems