Dressed Qubits

Abstract

Inherent gate errors can arise in quantum computation when the actual system Hamiltonian or Hilbert space deviates from the desired one. Two important examples we address are spin-coupled quantum dots in the presence of spin-orbit perturbations to the Heisenberg exchange interaction, and off-resonant transitions of a qubit embedded in a multilevel Hilbert space. We propose a ``dressed qubit'' transformation for dealing with such inherent errors. Unlike quantum error correction, the dressed qubits method does not require additional operations or encoding redundancy, is insenstitive to error magnitude, and imposes no new experimental constraints.

arXiv commentReplaced with published version

References in corpus (15)

• Quantum Computation with Quantum Dots
• Universal Quantum Computation with the Exchange Interaction
• A Theory of Quantum Error-Correcting Codes
• Theory of Decoherence-Free Fault-Tolerant Universal Quantum Computation
• Universal Fault-Tolerant Computation on Decoherence-Free Subspaces
• Molecular Quantum Computing by an Optimal Control Algorithm for Unitary Transformations
• Tunable coupling of superconducting qubits
• Anisotropic exchange interaction of localized conduction-band electrons in semiconductor structures
• Cancellation of Spin-Orbit Effects in Quantum Gates Based on the Exchange Coupling in Quantum Dots
• Speed of ion trap quantum information processors
• Silicon-based Quantum Computation
• Anisotropic Spin Exchange in Pulsed Quantum Gates
• Resonant cancellation of off-resonant effects in a multilevel qubit
• Universal Quantum Logic from Zeeman and Anisotropic Exchange Interactions
• Error correction for mutually interacting qubits

Cited by in corpus (30)

• Spin-Orbit Mediated Control of Spin Qubits
• Quantum and classical correlations in the one-dimensional XY model with Dzyaloshinskii-Moriya interaction
• Identifying an Experimental Two-State Hamiltonian to Arbitrary Accuracy
• Universal Quantum Computation through Control of Spin-Orbit Coupling
• Entanglement Observables and Witnesses for Interacting Quantum Spin Systems
• Universal Leakage Elimination
• Spin 3/2 fermions with attractive interactions in a one-dimensional optical lattice: phase diagrams, entanglement entropy, and the effect of the trap
• Theory of anisotropic exchange in laterally coupled quantum dots
• One-spin quantum logic gates from exchange interactions and a global magnetic field
• Perfect function transfer and interference effects in interacting boson lattices
• Universal Existence of Exact Quantum State Transmissions in Interacting Media
• Non-Perturbative Quantum Dynamical Decoupling
• Inverse Engineering Control in Open Quantum Systems
• Evolution of pairwise entanglement in a coupled n-body system
• Exact solutions for a type of electron pairing model with spin-orbit interactions and Zeeman coupling
• Ground state cooling of quantum systems via a one-shot measurement
• Polaron dynamics and decoherence in an interacting two-spin system coupled to optical phonon environment
• Dzyaloshinskii-Moriya and dipole-dipole interactions affect coupling-based Landau-Majorana-Stückelberg-Zener transitions
• Dressed Qubits in Nuclear Spin Baths
• Exact dynamics of interacting qubits in a thermal environment: Results beyond the weak coupling limit
• Study of decoherence in models for hard-core bosons coupled to optical phonons
• Spin freezing by Anderson localization in one-dimensional semiconductors
• Symmetry restoration and quantumness reestablishment
• A generalized effective spin-chain formalism for strongly interacting spinor gases in optical lattice
• Entanglement and its evolution after a quench in the presence of an energy current
• Repeated measurements and nuclear spin polarization
• Hybrid noise protection of logical qubits for universal quantum computation
• Perfect Function Transfer in two- and three- dimensions without initialization
• Exactly solvable pairing models in two dimensions
• Driving a mechanical resonator in to coherent states via random measurements