Optimal Control of Coupled Josephson Qubits
arXiv:quant-ph/0504202 · doi:10.1103/PhysRevA.75.012302
Abstract
Quantum optimal control theory is applied to two and three coupled Josephson charge qubits. It is shown that by using shaped pulses a CNOT gate can be obtained with a trace fidelity > 0.99999 for the two qubits, and even when including higher charge states, the leakage is below 1%. Yet, the required time is only a fifth of the pioneering experiment [T. Yamamoto et al., Nature 425 (2003), 941] for otherwise identical parameters. The controls have palindromic smooth time courses representable by superpositions of a few harmonics. We outline schemes to generate these shaped pulses such as simple network synthesis. The approach is easy to generalise to larger systems as shown by a fast realisation of TOFFOLI's gate in three linearly coupled charge qubits. Thus it is to be anticipated that this method will find wide application in coherent quantum control of systems with finite degrees of freedom whose dynamics are Lie-algebraically closed.
References in corpus (19)
- Quantum state engineering with Josephson-junction devices
- Manipulating the Quantum State of an Electrical Circuit
- Coherent manipulation of electronic states in a double quantum dot
- Time Optimal Control in Spin Systems
- Quantum oscillations in two coupled charge qubits
- Demonstration of conditional gate operation using superconducting charge qubits
- A geometric theory of non-local two-qubit operations
- Charge echo in a Cooper-pair box
- Quantum noise in the Josephson charge qubit
- Sub-Riemannian Geometry and Time Optimal Control of Three Spin Systems: Quantum Gates and Coherence Transfer
- Spectroscopy on two coupled flux qubits
- Optimal Control-Based Efficient Synthesis of Building Blocks of Quantum Algorithms Seen in Perspective from Network Complexity towards Time Complexity
- Controllable coupling between flux qubits
- Protocol for universal gates in optimally biased superconducting qubits
- Boundary of Quantum Evolution under Decoherence
- Dynamical suppression of 1/f noise processes in qubit systems
- Dynamical suppression of telegraph and 1/f noise due to quantum bistable fluctuator
- Optimal multiqubit operations for Josephson charge qubits
- Dynamics of Josephson junctions and single-flux-quantum networks with superconductor-insulator-normal metal junction shunts
Cited by in corpus (76)
- Training Schrödinger's cat: quantum optimal control
- Chopped random-basis quantum optimization
- Implementation of a Toffoli Gate with Superconducting Circuits
- Second order gradient ascent pulse engineering
- Comparing, Optimising and Benchmarking Quantum Control Algorithms in a Unifying Programming Framework
- Quantum Computing with NMR
- Leakage reduction in fast superconducting qubit gates via optimal control
- Optimal control of a qubit coupled to a non-Markovian environment
- Optimal control of open quantum systems: cooperative effects of driving and dissipation
- Adaptive hybrid optimal quantum control for imprecisely characterized systems
- Colloquium: Trapped ions as quantum bits -- essential numerical tools
- Speedup for quantum optimal control from automatic differentiation based on graphics processing units
- Robust optimal quantum gates for Josephson charge qubits
- Communication at the quantum speed limit along a spin chain
- Optimal Control for Generating Quantum Gates in Open Dissipative Systems
- Efficient Arbitrary Simultaneously Entangling Gates on a trapped-ion quantum computer
- 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
- Gradient-based optimal control of open quantum systems using quantum trajectories and automatic differentiation
- Symmetry Principles in Quantum Systems Theory
- Single qubit gates in frequency-crowded transmon systems
- Experimental quantum state tomography of a solid state qubit
- Optimal control for one-qubit quantum sensing
- Robust manipulation of superconducting qubits in the presence of fluctuations
- Optimal control of a leaking qubit
- Montonic convergent optimal control theory to modulate bandwidth limited laser pulses in linear and non-linear optical processes
- Exploring the trade-off between fidelity- and time-optimal control of quantum unitary transformations
- Generation and detection of NOON states in superconducting circuits
- Optimized controlled Z gates for two superconducting qubits coupled through a resonator
- Optimal control for non-Markovian open quantum systems
- Efficient Algorithms for Optimal Control of Quantum Dynamics: The "Krotov'' Method unencumbered
- Quantum pattern recognition with liquid-state nuclear magnetic resonance
- Environment-invariant measure of distance between evolutions of an open quantum system
- Scalable in-situ qubit calibration during repetitive error detection
- Gradient Flows for Optimisation and Quantum Control: Foundations and Applications
- Engineering Superposition States and Tailored Probes for Nano-resonators Via Open-Loop Control
- Optimal control of superconducting gmon qubits using Pontryagin's minimum principle: preparing a maximally entangled state with singular bang-bang protocols
- Optimal control of fast and high-fidelity quantum gates with electron and nuclear spins of a nitrogen-vacancy center in diamond
- Gradient Ascent Pulse Engineering with Feedback
- Artificial Intelligence for Quantum Computing
- Optimized single-qubit gates for Josephson phase qubits
- Optimal control of two qubits via a single cavity drive in circuit quantum electrodynamics
- Optimal control of circuit quantum electrodynamics in one and two dimensions
- Robust control of entanglement in a Nitrogen-vacancy centre coupled to a Carbon-13 nuclear spin in diamond
- Optimal control for fast and high-fidelity quantum gates in coupled superconducting flux qubits
- Fidelity of optimally controlled quantum gates with randomly coupled multiparticle environments
- Implementing Quantum Gates by Optimal Control with Doubly Exponential Convergence
- Optimal Control of Superconducting N-level quantum systems
- Amplitude and phase effects in Josephson qubits driven by a biharmonic electromagnetic field
- Optimal control of quantum gates in an exactly solvable non-Markovian open quantum bit system
- Quantum logic with weakly coupled qubits
- Time-Optimal Generation of Cluster States
- Preparation of ordered states in ultra-cold gases using Bayesian optimization
- Precision characterisation of two-qubit Hamiltonians via entanglement mapping
- Quantum control with noisy fields: computational complexity vs. sensitivity to noise
- Time-optimal rotation of a spin 1/2: application to the NV center spin in diamond
- Speed limits for two-qubit gates with weakly anharmonic qubits
- Optimal control of the silicon-based donor electron spin quantum computing
- Operator Preparation and Characteristic Analysis of Open Quantum Systems Based on the Lyapunov Control Method
- Optimal amplification of the dynamical Casimir effect in a parametrically driven system
- Estimation of classical parameters via continuous probing of complementary quantum observables
- Quantum computing with superconducting circuits in the picosecond regime
- Noise and Controllability: suppression of controllability in large quantum systems
- Behavior of two-level quantum system driven by non-classical inputs
- Time-optimal performance of Josephson charge qubits: A process tomography approach
- Experimentally Realizable C-NOT Gate in a Flux Qubit/Resonator System
- Efficient vibrational state coupling in an optical tilted-washboard potential via multiple spatial translations and application to pulse echo
- Entanglement engineering of optomechanical systems by reinforcement learning
- Optimal fast single pulse readout of qubits
- Quantum Control of d-Dimensional Quantum Systems with Application to Alkali Atomic Spins
- Leakage suppression by ultrafast pulse shaping
- On wireless connection between Josephson qubits
- Optimized Cooper pair pumps
- Robustness of a universal gate set implementation in transmon systems via Chopped Random Basis optimal control
- Stochastic optimization for learning quantum state feedback control
- Extracting high fidelity quantum computer hardware from random systems