Robust and Fast Holonomic Quantum Gates with Encoding on Superconducting Circuits
arXiv:2004.11132 · doi:10.1103/PhysRevApplied.14.034038
Abstract
High-fidelity and robust quantum manipulation is the key for scalable quantum computation. Therefore, due to the intrinsic operational robustness, quantum manipulation induced by geometric phases is one of the promising candidates. However, the longer gate time for geometric operations and more physical-implementation difficulties hinder its practical and wide applications. Here, we propose a simplified implementation of universal holonomic quantum gates on superconducting circuits with experimentally demonstrated techniques, which can remove the two main challenges by introducing the time-optimal control into the construction of quantum gates. Remarkably, our scheme is also based on a decoherence-free subspace encoding, with minimal physical qubit resource, which can further immune to error caused by qubit-frequency drift, which is regarded as the main error source for large scale superconducting circuits. Meanwhile, we deliberately design the quantum evolution to eliminate gate error caused by unwanted leakage sources. Therefore, our scheme is more robust than the conventional ones, and thus provides a promising alternative strategy for scalable fault-tolerant quantum computation.
5 pages, 4 figures
References in corpus (45)
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Charge insensitive qubit design derived from the Cooper pair box
- Quantum state engineering with Josephson-junction devices
- Decoherence Free Subspaces for Quantum Computation
- Logic gates at the surface code threshold: Superconducting qubits poised for fault-tolerant quantum computing
- Atomic physics and quantum optics using superconducting circuits
- Microwave photonics with superconducting quantum circuits
- Noiseless Quantum Codes
- Holonomic Quantum Computation
- Simple pulses for elimination of leakage in weakly nonlinear qubits
- Geometric Manipulation of Trapped Ions for Quantum Computation
- Complete Characterization of a Quantum Process: the Two-Bit Quantum Gate
- Preserving coherence in quantum computation by pairing quantum bits
- Experimental Realization of Nonadiabatic Holonomic Quantum Computation
- Non-adiabatic holonomic quantum computation
- Experimental Realization of Universal Geometric Quantum Gates with Solid-State Spins
- Detection of Geometric Phases in Superconducting Nanocircuits
- Implementation of universal quantum gates based on nonadiabatic geometric phases
- Experimental Realization of Non-Abelian Geometric Gates
- Non-Abelian Berry connections for quantum computation
- Non-adiabatic conditional geometric phase shift with NMR
- Non-Adiabatic Holonomic Quantum Computation in Decoherence-Free Subspaces
- Demonstration of Universal Parametric Entangling Gates on a Multi-Qubit Lattice
- Unconventional geometric quantum computation
- Low-decoherence flux qubit
- Plug-and-Play Approach to Non-adiabatic Geometric Quantum Gates
- Perfect quantum state transfer in a superconducting qubit chain with parametrically tunable couplings
- Holonomic Quantum Control by Coherent Optical Excitation in Diamond
- Single-loop realization of arbitrary non-adiabatic holonomic single-qubit quantum gates in a superconducting circuit
- Optical holonomic single quantum gates with a geometric spin under a zero field
- Experimental Realization of Nonadiabatic Shortcut to Non-Abelian Geometric Gates
- Experimental implementation of universal nonadiabatic geometric quantum gates in a superconducting circuit
- Time Optimal Unitary Operations
- Rydberg-atom-based scheme of nonadiabatic geometric quantum computation
- Quantum brachistochrone curves as geodesics: obtaining accurate control protocols for time-optimal quantum gates
- Single-loop multiple-pulse nonadiabatic holonomic quantum gates
- Single-Loop and Composite-Loop Realization of Nonadiabatic Holonomic Quantum Gates in a Decoherence-Free Subspace
- Nonadiabatic geometric quantum computation with parametrically tunable coupling
- Implementing universal nonadiabatic holonomic quantum gates with transmons
- Experimental time-optimal universal control of spin qubits in solids
- Experimental implementation of high-fidelity unconventional geometric quantum gates using NMR interferometer
- Realization of Superadiabatic Two-qubit Gates Using Parametric Modulation in Superconducting Circuits
- Fast holonomic quantum computation on superconducting circuits with optimal control
- Nonadiabatic geometric quantum computation with optimal control on superconducting circuits
- Brachistochrone Non-Adiabatic Holonomic Quantum Control
Cited by in corpus (24)
- Nonadiabatic noncyclic geometric quantum computation in Rydberg atoms
- Fast binomial-code holonomic quantum computation with ultrastrong light-matter coupling
- Single-atom verification of the noise-resilient and fast characteristics of universal nonadiabatic noncyclic geometric quantum gates
- Composite Short-path Nonadiabatic Holonomic Quantum Gates
- Dynamically Corrected Nonadiabatic Holonomic Quantum Gates
- Robust population inversion in three-level systems by composite pulses
- Nonadiabatic geometric quantum gates that are insensitive to qubit-frequency drifts
- Composite pulses for high fidelity population transfer in three-level systems
- Nonadiabatic Holonomic Quantum Computation and Its Optimal Control
- High-fidelity geometric quantum gates with short paths on superconducting circuits
- Ultrafast Holonomic Quantum Gates
- Unidirectional acoustic metamaterials based on nonadiabatic holonomic quantum transformations
- Nonadiabatic Holonomic Quantum Computation via Path Optimization
- Noncyclic nonadiabatic holonomic quantum gates via shortcuts to adiabaticity
- Error-Tolerant Geometric Quantum Control for Logical Qubits with Minimal Resource
- Robust and Fast Quantum State Transfer on Superconducting Circuits
- Time-optimal universal quantum gates on superconducting circuits
- Holonomic swap and controlled-swap gates of neutral atoms via selective Rydberg pumping
- Robust Nonadiabatic Holonomic Quantum Gates on Decoherence-Protected Qubits
- Dynamical-Corrected Nonadiabatic Geometric Quantum Computation
- Time optimal holonomic quantum computation
- Mitigation of systematic amplitude error in nonadiabatic holonomic operations
- Parallel transport in rotating frames and projective holonomic quantum computation
- Engineered Robustness for Nonadiabatic Geometric Quantum Gates