Nonadiabatic holonomic quantum computation with all-resonant control

Abstract

The implementation of holonomic quantum computation on superconducting quantum circuits is challenging due to the general requirement of controllable complicated coupling between multilevel systems. Here we solve this problem by proposing a scalable circuit QED lattice with simple realization of a universal set of nonadiabatic holonomic quantum gates. Compared with the existing proposals, we can achieve both the single and two logical qubit gates in an tunable and all-resonant way through a hybrid transmon-transmission-line encoding of the logical qubits in the decoherence-free subspaces. This distinct advantage thus leads to quantum gates with very fast speeds and consequently very high fidelities. Therefore, our scheme paves a promising way towards the practical realization of high-fidelity nonadiabatic holonomic quantum computation.

arXiv commentv2: thoroughly rewritten version with major revission; v3: Accepted by PRA; V4: Published version

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Cited by in corpus (34)

• Rydberg-atom-based scheme of nonadiabatic geometric quantum computation
• Single-loop multiple-pulse nonadiabatic holonomic quantum gates
• Nonadiabatic holonomic quantum computation with dressed-state qubits
• Single-Loop and Composite-Loop Realization of Nonadiabatic Holonomic Quantum Gates in a Decoherence-Free Subspace
• Nonadiabatic geometric quantum computation with parametrically tunable coupling
• Nonadiabatic geometric quantum computation with cat qubits via invariant-based reverse engineering
• Implementing universal nonadiabatic holonomic quantum gates with transmons
• Single-shot realization of nonadiabatic holonomic quantum gates in decoherence-free subspaces
• Composite nonadiabatic holonomic quantum computation
• Fast holonomic quantum computation on superconducting circuits with optimal control
• Nonadiabatic geometric quantum computation in decoherence-free subspaces based on unconventional geometric phases
• Heralded atomic nonadiabatic holonomic quantum computation with Rydberg blockade
• Nonadiabatic holonomic quantum computation with Rydberg superatoms
• Path-shortening realizations of nonadiabatic holonomic gates
• Fast holonomic quantum computation based on solid-state spins with all-optical control
• Nonadiabatic holonomic multiqubit controlled gates
• Electric nonadiabatic geometric entangling gates on spin qubits
• Dynamical-decoupling-protected nonadiabatic holonomic quantum computation
• Robust paths to realize nonadiabatic holonomic gates
• Dynamically Corrected Nonadiabatic Holonomic Quantum Gates
• Nonadiabatic holonomic quantum computation on coupled transmons with ancillaries
• Dipole-dipole interaction driven antiblockade of two Rydberg atoms
• Robust population inversion in three-level systems by composite pulses
• High-fidelity geometric quantum gates with short paths on superconducting circuits
• Nonadiabatic Holonomic Quantum Computation and Its Optimal Control
• Ultrafast Holonomic Quantum Gates
• Scalable nonadiabatic holonomic quantum computation on a superconducting qubit lattice
• Shortcut Scheme for One-Step Implementation of a Three-Qubit Nonadiabatic Holonomic Gate
• Realization of universal nonadiabatic geometric control on decoherence-free qubits in the XY model
• Noncyclic nonadiabatic holonomic quantum gates via shortcuts to adiabaticity
• Entangling power of holonomic gates in atom-cavity systems
• Mitigation of systematic amplitude error in nonadiabatic holonomic operations
• Geometric and holonomic quantum computation
• Scalable star-shape architecture for universal spin-based nonadiabatic holonomic quantum computation