Quantum control of entanglement in coupled spins using shortcuts to adiabaticity and optimal control

2019 ◽  
Author(s):  
Dionisis Stefanatos ◽  
Nikos Iliopoulos ◽  
Vasilos Karanikolas ◽  
Emmanuel Paspalakis
Keyword(s):  
Optimal Control ◽  
Quantum Control ◽  
Shortcuts To Adiabaticity

scholarly journals Connection between Inverse Engineering and Optimal Control in Shortcuts to Adiabaticity

Entropy ◽  
2021 ◽  
Vol 23 (1) ◽  
pp. 84
Author(s):  
Qi Zhang ◽  
Xi Chen ◽  
David Guéry-Odelin
Keyword(s):  
Optimal Control ◽  
Quantum Control ◽  
Cold Atoms ◽  
Spin Dynamics ◽  
Harmonic Trap ◽  
High Fidelity ◽  
Physical Constraints ◽  
Atomic Transport ◽  
Shortcuts To Adiabaticity ◽  
Very High

We consider fast high-fidelity quantum control by using a shortcut to adiabaticity (STA) technique and optimal control theory (OCT). Three specific examples, including expansion of cold atoms from the harmonic trap, atomic transport by moving harmonic trap, and spin dynamics in the presence of dissipation, are explicitly detailed. Using OCT as a qualitative guide, we demonstrate how STA protocols designed from inverse engineering method can approach with very high precision optimal solutions built about physical constraints, by a proper choice of the interpolation function and with a very reduced number of adjustable parameters.

scholarly journals Experimental implementation of precisely tailored light-matter interaction via inverse engineering

2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Ying Yan ◽  
Chunyan Shi ◽  
Adam Kinos ◽  
Hafsa Syed ◽  
Sebastian P. Horvath ◽  
...  
Keyword(s):  
Quantum Dynamics ◽  
Quantum Control ◽  
Quantum Information Processing ◽  
Rare Earth Ions ◽  
Adiabatic Process ◽  
Physical Constraints ◽  
Shortcuts To Adiabaticity ◽  
Experimental Implementation ◽  
Speed Up ◽  
Light Matter Interaction

AbstractAccurate and efficient quantum control in the presence of constraints and decoherence is a requirement and a challenge in quantum information processing. Shortcuts to adiabaticity, originally proposed to speed up the slow adiabatic process, have nowadays become versatile toolboxes for preparing states or controlling the quantum dynamics. Unique shortcut designs are required for each quantum system with intrinsic physical constraints, imperfections, and noise. Here, we implement fast and robust control for the state preparation and state engineering in a rare-earth ions system. Specifically, the interacting pulses are inversely engineered and further optimized with respect to inhomogeneities of the ensemble and the unwanted interaction with other qubits. We demonstrate that our protocols surpass the conventional adiabatic schemes, by reducing the decoherence from the excited-state decay and inhomogeneous broadening. The results presented here are applicable to other noisy intermediate-scale quantum systems.

scholarly journals Quantum Optimal Control for Bose-Einstein-Condensates at Complex Space

2021 ◽  
Author(s):  
Quan-Fang Wang
Keyword(s):  
Optimal Control ◽  
Hilbert Spaces ◽  
Schrodinger Equation ◽  
Quantum Control ◽  
Complex Space ◽  
Pitaevskii Equation ◽  
Interesting Topic ◽  
Quantum Optimal Control ◽  
Control Target ◽  
Bose Einstein

Quantum control of Bose-Einstein-Condensates is interesting topic in the areas of control and physics. In this work, Gross-Pitaevskii equation expressed Bose-Einstein-Condensates is considered as control target. Full theoretical proof for the existence of quantum optimal control is provided for cubical Schrodinger equation in complex Hilbert spaces.

scholarly journals Fast and robust quantum control for multimode interactions using shortcuts to adiabaticity

2019 ◽  
Vol 27 (5) ◽  
pp. 7384 ◽  
Author(s):  
Hao Zhang ◽  
Xue-Ke Song ◽  
Qing Ai ◽  
Haibo Wang ◽  
Guo-Jian Yang ◽  
...  
Keyword(s):  
Quantum Control ◽  
Shortcuts To Adiabaticity

scholarly journals Quantum Numerical Control for Particles at Matter Surface

2021 ◽  
Author(s):  
Quan-Fang Wang
Keyword(s):  
Optimal Control ◽  
Schrödinger Equation ◽  
Control Theory ◽  
Quantum System ◽  
Schrodinger Equation ◽  
Quantum Control ◽  
Numerical Control ◽  
System Control ◽  
Control Input ◽  
Quantum Control Theory

In this work, time-depended Schrodinger equation described particles at matter (crystal, catalysis, metal) surface could be considered as propose of numerical control of quantum system. Accessing existing physical experimental results on the motion of particles (molecules, atoms) at surface, based on variational method of quantum control theory in Hilbert space, using density function theory (DFT), time-depended Schrodinger equation to proceed the investigation of computational approach. To do quantum calculation at surface, physically, first needs a concept as control goal: such as breaking a chemical bond as target; reducing energy of high intensity shaped laser pulse. Particles at surface is a kind of constrain control for spatial variable. Optimal control is to find and characterize the quantum optima for minimizing or maximizing the cost functional. Control methods contain selecting chemical reagent, designing chemical reaction, making control scope for a quantized system: time varying Schrodinger equation. Precisely, for general quadratic cost function, in two or three dimensional cases, a semi discrete (time continuous, spatial discrete) algorithm consisting of finite element method and conjugate gradient method, would be utilized for solving a numerical solution of state system, and obtaining quantum optimal control from a initial guess of control input. It is quite curious: what is the difference of control particles occurred at surface than control free particles? whether one can develop a suit of theory or methodology for quantum surface control? It is certainly expected to connect theoretical control, to numerical or computational control, and to experimental control as carrying out quantum system control of particles on the surface. It is desired that quantum control theory (QCT) for quantum dot at surface would be evidenced in visualization method, and attained confidential verification in the guidance of real-time computer-aided experiments in the viewpoint of chemistry and physics.

scholarly journals Shortcuts to adiabaticity for open systems in circuit quantum electrodynamics

2022 ◽  
Vol 13 (1) ◽  
Author(s):  
Zelong Yin ◽  
Chunzhen Li ◽  
Jonathan Allcock ◽  
Yicong Zheng ◽  
Xiu Gu ◽  
...  
Keyword(s):  
Quantum Electrodynamics ◽  
Quantum Control ◽  
Open Systems ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Circuit Quantum Electrodynamics ◽  
Open Quantum ◽  
Shortcuts To Adiabaticity ◽  
Potential Applications ◽  
Closed Systems

AbstractShortcuts to adiabaticity are powerful quantum control methods, allowing quick evolution into target states of otherwise slow adiabatic dynamics. Such methods have widespread applications in quantum technologies, and various shortcuts to adiabaticity protocols have been demonstrated in closed systems. However, realizing shortcuts to adiabaticity for open quantum systems has presented a challenge due to the complex controls in existing proposals. Here, we present the experimental demonstration of shortcuts to adiabaticity for open quantum systems, using a superconducting circuit quantum electrodynamics system. By applying a counterdiabatic driving pulse, we reduce the adiabatic evolution time of a single lossy mode from 800 ns to 100 ns. In addition, we propose and implement an optimal control protocol to achieve fast and qubit-unconditional equilibrium of multiple lossy modes. Our results pave the way for precise time-domain control of open quantum systems and have potential applications in designing fast open-system protocols of physical and interdisciplinary interest, such as accelerating bioengineering and chemical reaction dynamics.

scholarly journals Quantum Control for Neutrons in Nuclear Reaction

2021 ◽  
Author(s):  
Quan-Fang Wang
Keyword(s):  
Optimal Control ◽  
Variational Method ◽  
Control Theory ◽  
Nuclear Reaction ◽  
Quantum Control ◽  
Many Body ◽  
Chain Reaction ◽  
Quantum Optimal Control ◽  
Full Proof

Quantum control of neutrons in nuclear reaction in considered in this work. Neutrons fission from uranium <sup>235</sup>U of chain reaction is interested to be controlled as target theoretically. Control theory is applied to interacted many-body neutrons collision in the framework of variational method. Full proof is provided for quantum optimal control of scattered poly-neutrons.

scholarly journals Quantum Numerical Control for Particles at Matter Surface

2021 ◽  
Author(s):  
Quan-Fang Wang
Keyword(s):  
Optimal Control ◽  
Schrödinger Equation ◽  
Control Theory ◽  
Quantum System ◽  
Schrodinger Equation ◽  
Quantum Control ◽  
Numerical Control ◽  
System Control ◽  
Control Input ◽  
Quantum Control Theory

In this work, time-depended Schrodinger equation described particles at matter (crystal, catalysis, metal) surface could be considered as propose of numerical control of quantum system. Accessing existing physical experimental results on the motion of particles (molecules, atoms) at surface, based on variational method of quantum control theory in Hilbert space, using density function theory (DFT), time-depended Schrodinger equation to proceed the investigation of computational approach. To do quantum calculation at surface, physically, first needs a concept as control goal: such as breaking a chemical bond as target; reducing energy of high intensity shaped laser pulse. Particles at surface is a kind of constrain control for spatial variable. Optimal control is to find and characterize the quantum optima for minimizing or maximizing the cost functional. Control methods contain selecting chemical reagent, designing chemical reaction, making control scope for a quantized system: time varying Schrodinger equation. Precisely, for general quadratic cost function, in two or three dimensional cases, a semi discrete (time continuous, spatial discrete) algorithm consisting of finite element method and conjugate gradient method, would be utilized for solving a numerical solution of state system, and obtaining quantum optimal control from a initial guess of control input. It is quite curious: what is the difference of control particles occurred at surface than control free particles? whether one can develop a suit of theory or methodology for quantum surface control? It is certainly expected to connect theoretical control, to numerical or computational control, and to experimental control as carrying out quantum system control of particles on the surface. It is desired that quantum control theory (QCT) for quantum dot at surface would be evidenced in visualization method, and attained confidential verification in the guidance of real-time computer-aided experiments in the viewpoint of chemistry and physics.

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