Enhanced-Fidelity Ultrafast Geometric Quantum Computation Using Strong Classical Drives
arXiv:2203.06831 · doi:10.1103/PhysRevApplied.18.064059
Abstract
We propose a general approach to implement nonadiabatic geometric single- and two-qubit gates beyond the rotating wave approximation (RWA). This protocol is compatible with most optimal control methods used in previous RWA protocols; thus, it is as robust as (or even more robust than) the RWA protocols. Using counter-rotating effects allows us to apply strong drives. Therefore, we can improve the gate speed by 5--10 times compared to the RWA counterpart for implementing high-fidelity () gates. Such an ultrafast evolution (nanoseconds, even picoseconds) significantly reduces the influence of decoherence (e.g., the qubit dissipation and dephasing). Moreover, because the counter-rotating effects no longer induce gate infidelities (in both the weak and strong driving regimes), we can achieve a higher fidelity compared to the RWA protocols. Therefore, in the presence of decoherence, one can implement ultrafast geometric quantum gates with fidelities.
arXiv comment13 pages, 8 figures, 3 tables
References in corpus (79)
- Quantum state engineering with Josephson-junction devices
- Coherent control of macroscopic quantum states in a single-Cooper-pair box
- Quantum computational advantage using photons
- Hybrid quantum circuits: Superconducting circuits interacting with other quantum systems
- Superconducting Qubits: Current State of Play
- Ultrastrong coupling between light and matter
- Trapped-Ion Quantum Computing: Progress and Challenges
- Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
- Atomic physics and quantum optics using superconducting circuits
- Microwave photonics with superconducting quantum circuits
- Multiple Particle Interference and Quantum Error Correction
- Ultrastrong coupling regimes of light-matter interaction
- Shortcuts to adiabaticity: concepts, methods, and applications
- Holonomic Quantum Computation
- Quantum information processing with superconducting circuits: a review
- Geometric quantum computation with NMR
- Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
- Observation of the Bloch-Siegert Shift in a Qubit-Oscillator System in the Ultrastrong Coupling Regime
- Natural and artificial atoms for quantum computation
- Shortcut to adiabatic passage in two and three level atoms
- Stimulating uncertainty: Amplifying the quantum vacuum with superconducting circuits
- Non-adiabatic holonomic quantum computation
- Superconducting Quantum Computing: A Review
- Lewis-Riesenfeld invariants and transitionless tracking algorithm
- Fidelity of quantum operations
- Non-adiabatic conditional geometric phase shift with NMR
- Non-Adiabatic Holonomic Quantum Computation in Decoherence-Free Subspaces
- Unconventional geometric quantum computation
- The high-coherence fluxonium qubit
- Two-level systems driven by large-amplitude fields
- Geometric Quantum Computation
- The Quantum Approximate Optimization Algorithm and the Sherrington-Kirkpatrick Model at Infinite Size
- Multiple Schrödinger pictures and dynamics in shortcuts to adiabaticity
- Berry phase for a spin 1/2 in a classical fluctuating field
- Bosonic quantum error correction codes in superconducting quantum circuits
- Scalable quantum computing with Josephson charge qubits
- Plug-and-Play Approach to Non-adiabatic Geometric Quantum Gates
- Geometric quantum gates robust against stochastic control errors
- A Single Photon Can Simultaneously Excite Two or More Atoms
- Single-loop realization of arbitrary non-adiabatic holonomic single-qubit quantum gates in a superconducting circuit
- Experimental demonstration of the stability of Berry's phase for a spin-1/2 particle
- Shortcuts to adiabatic holonomic quantum computation in decoherence-free subspace with transitionless quantum driving algorithm
- Experimental implementation of universal nonadiabatic geometric quantum gates in a superconducting circuit
- Controllable manipulation and entanglement of macroscopic quantum states in coupled charge qubits
- Observation of Floquet states in a strongly driven artificial atom
- Rydberg-atom-based scheme of nonadiabatic geometric quantum computation
- Stark effect and generalized Bloch-Siegert shift in a strongly driven two-level system
- Exploring the Effect of Noise on the Berry Phase
- Single-loop multiple-pulse nonadiabatic holonomic quantum gates
- A Compound Josephson Junction Coupler for Flux Qubits With Minimal Crosstalk
- Geometric phases in quantum information
- Holonomic quantum computation in the ultrastrong-coupling regime of circuit QED
- Circuit design implementing longitudinal coupling: a scalable scheme for superconducting qubits
- Four-qubit device with mixed couplings
- Comparison of the sensitivity to systematic errors between non-adiabatic non-Abelian geometric gates and their dynamical counterparts
- Single-shot realization of nonadiabatic holonomic quantum gates in decoherence-free subspaces
- Effects of counterrotating interaction on driven tunneling dynamics: coherent destruction of tunneling and Bloch-Siegert shift
- Bloch-Siegert shift of the Rabi model
- Purity and State Fidelity of Quantum Channels via Hamiltonians
- Nonadiabatic noncyclic geometric quantum computation in Rydberg atoms
- Quantum computation with Josephson-qubits by using a current-biased information bus
- Geometric formalism for constructing arbitrary single-qubit dynamically corrected gates
- Long-lasting Quantum Memories: Extending the Coherence Time of Superconducting Artificial Atoms in the Ultrastrong-Coupling Regime
- Doubly geometric quantum control
- Inductively shunted transmon qubit with tunable transverse and longitudinal coupling
- Fast binomial-code holonomic quantum computation with ultrastrong light-matter coupling
- Dynamics of a two-level system under strong driving: quantum gate optimization based on floquet theory
- Observing pure effects of counter-rotating terms without ultrastrong coupling: A single photon can simultaneously excite two qubits
- Electric nonadiabatic geometric entangling gates on spin qubits
- Two-color electromagnetically induced transparency via modulated coupling between a mechanical resonator and a qubit
- Spectroscopy of three strongly coupled flux qubits
- Analytic Design of Accelerated Adiabatic Gates in Realistic Qubits: General Theory and Applications to Superconducting Circuits
- Demonstration of a non-Abelian geometric controlled-Not gate in a superconducting circuit
- Super-robust nonadiabatic geometric quantum control
- Quantum Control with Measurements and Quantum Zeno Dynamics
- Quantum computing with superconducting circuits in the picosecond regime
- Ultrafast Holonomic Quantum Gates
- Noncyclic nonadiabatic holonomic quantum gates via shortcuts to adiabaticity
- An analytical double-unitary-transformation approach for strongly and periodically driven three-level systems