Feasibility of single-shot realizations of conditional three-qubit gates in exchange-coupled qubit arrays with local control
arXiv:1901.01194 · doi:10.1103/PhysRevA.99.012345
Abstract
We investigate the feasibility of single-shot Toffoli- and Fredkin-gate realizations in qubit arrays with Heisenberg-type exchange interactions between adjacent qubits. As follows from the Lie-algebraic criteria of controllability, such an array is rendered completely controllable -- equivalent to allowing universal quantum computation -- by a Zeeman-like control field with two orthogonal components acting on a single "actuator" qubit. Adopting this local-control setting, we start our analysis with piecewise-constant control fields and determine the global maxima of the relevant figure of merit (target-gate fidelity) by combining the multistart-based clustering algorithm and quasi-Newton type local optimization. We subsequently introduce important practical considerations, such as finite frequency bandwidth of realistic fields and their leakage away from the actuator. We find the shortest times required for high-fidelity Toffoli- and Fredkin-gate realizations and provide comparisons to their respective two-qubit counterparts -- controlled-NOT and exponential-SWAP. In particular, the Toffoli-gate time compares much more favorably to that of controlled-NOT than in the standard decomposition-based approach. This study indicates that the use of the single-shot approach can alleviate the burden on control-generating hardware in future experimental realizations of multi-qubit gates.
arXiv commentproject started in 2016 and completed -- after a long interruption -- in 2018
References in corpus (58)
- Quantum Computing in the NISQ era and beyond
- Quantum Computation with Quantum Dots
- Spins in few-electron quantum dots
- Logic gates at the surface code threshold: Superconducting qubits poised for fault-tolerant quantum computing
- Quantum Computing with Very Noisy Devices
- A Two Qubit Logic Gate in Silicon
- Universal Quantum Computation with the Exchange Interaction
- Holonomic Quantum Computation
- Quantum information processing with superconducting circuits: a review
- Fault-tolerant quantum computation with high threshold in two dimensions
- Training Schrödinger's cat: quantum optimal control
- A programmable two-qubit quantum processor in silicon
- Electrically driven single electron spin resonance in a slanting Zeeman field
- Realization of Three-Qubit Quantum Error Correction with Superconducting Circuits
- Quantum Phase Transitions and Vortex Dynamics in Superconducting Networks
- Experimental Realization of Nonadiabatic Holonomic Quantum Computation
- Prospects for Spin-Based Quantum Computing
- Universal quantum computation with spin-1/2 pairs and Heisenberg exchange
- Non-adiabatic holonomic quantum computation
- Lewis-Riesenfeld invariants and transitionless tracking algorithm
- Overhead and noise threshold of fault-tolerant quantum error correction
- Universal Fault-Tolerant Computation on Decoherence-Free Subspaces
- Quantum computing with nearest neighbor interactions and error rates over 1%
- Realization of the quantum Toffoli gate with trapped ions
- Scalable gate architecture for densely packed semiconductor spin qubits
- Multiple Schrödinger pictures and dynamics in shortcuts to adiabaticity
- Complete 3-Qubit Grover Search on a Programmable Quantum Computer
- Fault tolerant quantum computation with very high threshold for loss errors
- A quantum Fredkin gate
- Arbitrary quantum control of qubits in the presence of universal noise
- Robust optimal quantum gates for Josephson charge qubits
- High-Fidelity Single-Shot Toffoli Gate via Quantum Control
- Optimal control of quantum gates and suppression of decoherence in a system of interacting two-level particles
- Speed limits for quantum gates in multi-qubit systems
- Optimal control theory for a unitary operation under dissipative evolution
- Hardware for Dynamic Quantum Computing
- Quantum-state transfer via resonant tunnelling through local field induced barriers
- Designing High-Fidelity Single-Shot Three-Qubit Gates: A Machine Learning Approach
- Robust quantum gates for systems subject to decoherence via optimal control: Markovian vs non-Markovian dynamics
- Optimal control of a leaking qubit
- Optimized pulse shapes for a resonator-induced phase gate
- Local quantum control of Heisenberg spin chains
- Quantum optimal control via gradient ascent in function space and the time-bandwidth quantum speed limit
- Kraus representation of damped harmonic oscillator and its application
- Quantum-control approach to realizing a Toffoli gate in circuit QED
- Symmetries on Spin Chains: Limited Controllability and Minimal Controls for Full Controllability
- Global controllability with a single local actuator
- Fast microwave-driven three-qubit gates for cavity-coupled superconducting qubits
- Nonadiabatic holonomic quantum computation on coupled transmons with ancillaries
- Controlling qubit arrays with anisotropic XXZ Heisenberg interaction by acting on a single qubit
- Controlling qubit networks in polynomial time
- Efficient experimental design of high-fidelity three-qubit quantum gates via genetic programming
- An Ancilla Based Quantum Simulation Framework for Non-Unitary Matrices
- Strategy for implementing stabilizer-based codes on solid-state qubits
- Many-body strategies for multi-qubit gates - quantum control through Krawtchouk chain dynamics
- Experimental implementation of quantum gates through actuator qubits
- Implementation of standard quantum error correction codes for solid-state qubits
- Multifractality in the fidelity of the Toffoli gate
Cited by in corpus (7)
- Bare-Excitation Ground State of a Spinless-Fermion -- Boson Model and -State Engineering in an Array of Superconducting Qubits and Resonators
- Conversion from to Greenberger-Horne-Zeilinger states in the Rydberg-blockade regime of neutral-atom systems: Dynamical-symmetry-based approach
- Dicke-state preparation through global transverse control of Ising-coupled qubits
- Quantum-brachistochrone approach to the conversion from to Greenberger-Horne-Zeilinger states for Rydberg-atom qubits
- Interconversion of and Greenberger-Horne-Zeilinger states for Ising-coupled qubits with transverse global control
- Digital Quantum Simulation of Scalar Yukawa Coupling
- Harnessing subspace controllability: Dynamical generation of Dicke states in Heisenberg-coupled qubit arrays with a single local control