Dynamical decoupling of a geometric qubit

Abstract

Quantum bits or qubits naturally decohere by becoming entangled with uncontrollable environments. Dynamical decoupling is thereby required to disentangle qubits from an environment by periodically reversing the qubit bases, but this causes rotation error to accumulate. Whereas a conventional qubit is rotated within the SU(2) two-level system, a geometric qubit defined in the degenerate subspace of a V-shaped SU(3) three-level system is geometrically rotated via the third ancillary level to acquire a geometric phase. We here demonstrate that, simply by introducing detuning, the dynamical decoupling of the geometric qubit on a spin triplet electron in a nitrogen-vacancy center in diamond can be made to spontaneously suppress error accumulation. The geometric dynamical decoupling extends the coherence time of the geometric qubit up to 1.9 ms, limited by the relaxation time, with 128 decoupling gates at room temperature. Our technique opens a route to holonomic quantum memory for use in various quantum applications requiring sequential operations

References in corpus (22)

• Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
• Universal dynamical decoupling of a single solid-state spin from a spin bath
• Solid-state electronic spin coherence time approaching one second
• Temperature dependence of the nitrogen-vacancy magnetic resonance in diamond
• Probing condensed matter physics with magnetometry based on nitrogen-vacancy centres in diamond
• Non-adiabatic holonomic quantum computation
• Experimental Realization of Universal Geometric Quantum Gates with Solid-State Spins
• Extending Quantum Coherence in Diamond
• One-second coherence for a single electron spin coupled to a multi-qubit nuclear-spin environment
• Accelerated quantum control using superadiabatic dynamics in a solid-state lambda system
• Decoherence and dynamical decoupling control of nitrogen-vacancy center electron spins in nuclear spin baths
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• Absolute magnetometry based on quantum beats in diamond nitrogen-vacancy centers
• Optical holonomic single quantum gates with a geometric spin under a zero field
• High fidelity transfer and storage of photon states in a single nuclear spin
• Robust quantum-network memory using decoherence-protected subspaces of nuclear spins
• Optical manipulation of Berry phase in a solid-state spin qubit
• Optimizing a Dynamical Decoupling Protocol for Solid-State Electronic Spin Ensembles in Diamond
• Multipulse Double-Quantum Magnetometry With Near-Surface Nitrogen Vacancy Centers
• Comparison of the sensitivity to systematic errors between non-adiabatic non-Abelian geometric gates and their dynamical counterparts
• Geometric spin echo under zero field
• Phenomenological Study of Decoherence in Solid-State Spin Qubits due to Nuclear Spin Diffusion

Cited by in corpus (9)

• Zero- and Low-Field Sensing with Nitrogen Vacancy Centers
• Composite Short-path Nonadiabatic Holonomic Quantum Gates
• Dynamically Corrected Nonadiabatic Holonomic Quantum Gates
• Risk-sensitive Optimization for Robust Quantum Controls
• Noncyclic nonadiabatic holonomic quantum gates via shortcuts to adiabaticity
• Hybrid noise protection of logical qubits for universal quantum computation
• Phased Geometric Controls of V-Shaped Three-Level System for Zero-field Quantum Sensing
• Robust Nonadiabatic Holonomic Quantum Gates on Decoherence-Protected Qubits
• Controlling discrete time crystals via single-site operations in zero-field diamond quantum simulators