Optimizing for an arbitrary perfect entangler. II. Application

Abstract

The difficulty of an optimization task in quantum information science depends on the proper mathematical expression of the physical target. Here we demonstrate the power of optimization functionals targeting an arbitrary perfect two-qubit entangler, creating a maximally-entangled state out of some initial product state. For two quantum information platforms of current interest, nitrogen vacancy centers in diamond and superconducting Josephson junctions, we show that an arbitrary perfect entangler can be reached faster and with higher fidelity than specific two-qubit gates or local equivalence classes of two-qubit gates. Our results are obtained with two independent optimization approaches, underlining the crucial role of the optimization target.

References in corpus (46)

• Quantum entanglement
• Charge insensitive qubit design derived from the Cooper pair box
• Quantum state engineering with Josephson-junction devices
• Coherent control of macroscopic quantum states in a single-Cooper-pair box
• Control of quantum phenomena: Past, present, and future
• The maximum speed of dynamical evolution
• Simple pulses for elimination of leakage in weakly nonlinear qubits
• Demonstration of conditional gate operation using superconducting charge qubits
• Quantum speed limit for non-Markovian dynamics
• Quantum speed limits in open system dynamics
• Optimal control technique for Many Body Quantum Systems dynamics
• A geometric theory of non-local two-qubit operations
• Chopped random-basis quantum optimization
• Molecular Quantum Computing by an Optimal Control Algorithm for Unitary Transformations
• Fidelity of quantum operations
• Optimal control theory for unitary transformations
• The fundamental limit on the rate of quantum dynamics: the unified bound is tight
• Monotonically convergent optimization in quantum control using Krotov's method
• Optimal control of a qubit coupled to a non-Markovian environment
• Entanglement of two superconducting qubits in a waveguide cavity via monochromatic two-photon excitation
• Optimal control of open quantum systems: cooperative effects of driving and dissipation
• Robust optimal quantum gates for Josephson charge qubits
• Optimal quantum control of Bose Einstein condensates in magnetic microtraps
• Optimal Control for Generating Quantum Gates in Open Dissipative Systems
• An information theoretical analysis of quantum optimal control
• Robustness of high-fidelity Rydberg gates with single-site addressability
• Interferometry with non-classical motional states of a Bose-Einstein condensate
• Speeding up and slowing down the relaxation of a qubit by optimal control
• Optimal control theory for a unitary operation under dissipative evolution
• Robust quantum gates for systems subject to decoherence via optimal control: Markovian vs non-Markovian dynamics
• Towards an experimentally feasible controlled-phase gate on two blockaded Rydberg atoms
• Speeding up critical system dynamics through optimized evolution
• Exploring constrained quantum control landscapes
• Optimal control of time-dependent targets
• Optimizing for an arbitrary perfect entangler: I. Functionals
• Optimal dynamical control of many-body entanglement
• Room temperature Rydberg Single Photon Source
• Steering the optimization pathway in the control landscape using constraints
• Realistic and verifiable coherent control of excitonic states in a light harvesting complex
• Arbitrary quantum-state preparation of a harmonic oscillator via optimal control
• On the complexity of controlling quantum many-body dynamics
• Minimum number of input states required for quantum gate characterization
• Robust control of entanglement in a Nitrogen-vacancy centre coupled to a Carbon-13 nuclear spin in diamond
• Metric Structure of the Space of Two-Qubit Gates, Perfect Entanglers and Quantum Control
• Optimal control under spectral constraints: Enforcing multi-photon absorption pathways
• Entanglement Storage Units

Cited by in corpus (33)

• Training Schrödinger's cat: quantum optimal control
• Controlling open quantum systems: Tools, achievements, and limitations
• Introduction to Quantum Optimal Control for Quantum Sensing with Nitrogen-Vacancy Centers in Diamond
• Dressing the chopped-random-basis optimization: a bandwidth-limited access to the trap-free landscape
• Speedup for quantum optimal control from automatic differentiation based on graphics processing units
• Krotov: A Python implementation of Krotov's method for quantum optimal control
• One decade of quantum optimal control in the chopped random basis
• A Tutorial on Optimal Control and Reinforcement Learning methods for Quantum Technologies
• Optimizing for an arbitrary perfect entangler: I. Functionals
• Optimized cross-resonance gate for coupled transmon systems
• Krotov Method for Optimal Control in Closed Quantum Systems
• Optimal control of superconducting gmon qubits using Pontryagin's minimum principle: preparing a maximally entangled state with singular bang-bang protocols
• Hybrid Optimization Schemes for Quantum Control
• QuOCS: The Quantum Optimal Control Suite
• Control and Coherence Time Enhancement of the 0-$\pi$ Qubit
• Quantum Optimal Control via Semi-Automatic Differentiation
• Maximizing entanglement in bosonic Josephson junctions using shortcuts to adiabaticity and optimal control
• Speed limits for two-qubit gates with weakly anharmonic qubits
• Quantum computing with superconducting circuits in the picosecond regime
• Optimal entanglement generation in optomechanical systems via Krotov control of covariance matrix dynamics
• Boosting Entanglement Between Exciton-Polaritons with On-Off Switching of Josephson Coupling
• Dissipative Quantum Dynamics and Optimal Control using Iterative Time Ordering: An Application to Superconducting Qubits
• Bayesian-based hybrid method for rapid optimization of NV center sensors
• Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
• Algorithmic Primitives for Quantum-Assisted Quantum Control
• Efficient control pulses for continuous quantum gate families through coordinated re-optimization
• Local Gradient Optimization of Modular Entangling Sequences
• Optimizing for an arbitrary Schrödinger cat state
• Topological quantum compilation of two-qubit gates
• Local gradient optimization of leakage-suppressing entangling sequences
• The perfect entangler spectrum as a tool to analyze crosstalk
• GRAPE.jl: Gradient Ascent Pulse Engineering in Julia
• Preparation of Many-body Ground States by Time Evolution with Variational Microscopic Magnetic Fields and Incomplete Interactions