scholarly journals Chaos-assisted tunneling resonances in a synthetic Floquet superlattice

2020 ◽  
Vol 6 (38) ◽  
pp. eabc4886
Author(s):  
M. Arnal ◽  
G. Chatelain ◽  
M. Martinez ◽  
N. Dupont ◽  
O. Giraud ◽  
...  
Keyword(s):  
Optical Lattice ◽  
Quantum Chaos ◽  
Quantum Control ◽  
Quantum Computer ◽  
Quantum Simulation ◽  
The Past ◽  
Range Transport ◽  
Assisted Tunneling ◽  
Bose Einstein ◽  
Tunneling Resonances

The field of quantum simulation, which aims at using a tunable quantum system to simulate another, has been developing fast in the past years as an alternative to the all-purpose quantum computer. So far, most efforts in this domain have been directed to either fully regular or fully chaotic systems. Here, we focus on the intermediate regime, where regular orbits are surrounded by a large sea of chaotic trajectories. We observe a quantum chaos transport mechanism, called chaos-assisted tunneling, that translates in sharp resonances of the tunneling rate and provides previously unexplored possibilities for quantum simulation. More specifically, using Bose-Einstein condensates in a driven optical lattice, we experimentally demonstrate and characterize these resonances. Our work paves the way for quantum simulations with long-range transport and quantum control through complexity.

scholarly journals Quantum Control of BEC in Optical Lattice

2021 ◽  
Author(s):  
Quan-Fang Wang
Keyword(s):  
Low Temperature ◽  
External Force ◽  
Optical Lattice ◽  
Quantum Control ◽  
Spatial Dimension ◽  
Computational Approach ◽  
High Spatial Dimension ◽  
Bose Einstein

In this paper, it would be worthwhile to consider the theoretical and computational approach of controlling Bose-Einstein Condensates (BEC). In high spatial dimension (2D/3D) case, the BEC system is controlled under external force in trapped optical lattice at low temperature. Finally, our conclusion is in accordance with the results in physics/chemistry realms.

scholarly journals Quantum Control of BEC in Optical Lattice

2021 ◽  
Author(s):  
Quan-Fang Wang
Keyword(s):  
Low Temperature ◽  
External Force ◽  
Optical Lattice ◽  
Quantum Control ◽  
Spatial Dimension ◽  
Computational Approach ◽  
High Spatial Dimension ◽  
Bose Einstein

In this paper, it would be worthwhile to consider the theoretical and computational approach of controlling Bose-Einstein Condensates (BEC). In high spatial dimension (2D/3D) case, the BEC system is controlled under external force in trapped optical lattice at low temperature. Finally, our conclusion is in accordance with the results in physics/chemistry realms.

INTEGRABILITY, ENTROPY AND QUANTUM COMPUTATION

1999 ◽  
Vol 10 (07) ◽  
pp. 1205-1228 ◽  
Author(s):  
E. V. KRISHNAMURTHY
Keyword(s):  
Quantum Computation ◽  
Quantum Chaos ◽  
Quantum Control ◽  
Dynamical Evolution ◽  
Open Problems ◽  
Quantum Integrability ◽  
Feynman Path Integrals ◽  
Exact Integrability ◽  
Time Arrow ◽  
Computational Systems

The important requirements are stated for the success of quantum computation. These requirements involve coherent preserving Hamiltonians as well as exact integrability of the corresponding Feynman path integrals. Also we explain the role of metric entropy in dynamical evolutionary system and outline some of the open problems in the design of quantum computational systems. Finally, we observe that unless we understand quantum nondemolition measurements, quantum integrability, quantum chaos and the direction of time arrow, the quantum control and computational paradigms will remain elusive and the design of systems based on quantum dynamical evolution may not be feasible.

scholarly journals Simulating molecules on a cloud-based 5-qubit IBM-Q universal quantum computer

2021 ◽  
Vol 4 (1) ◽  
Author(s):  
S. Leontica ◽  
F. Tennie ◽  
T. Farrow
Keyword(s):  
Quantum System ◽  
Energy Transport ◽  
Quantum Computer ◽  
Complex Molecule ◽  
Dissipative System ◽  
Quantum Simulation ◽  
Quantum Systems ◽  
Molecular Structures ◽  
Unitary Evolution ◽  
Universal Quantum

AbstractSimulating the behaviour of complex quantum systems is impossible on classical supercomputers due to the exponential scaling of the number of quantum states with the number of particles in the simulated system. Quantum computers aim to break through this limit by using one quantum system to simulate another quantum system. Although in their infancy, they are a promising tool for applied fields seeking to simulate quantum interactions in complex atomic and molecular structures. Here, we show an efficient technique for transpiling the unitary evolution of quantum systems into the language of universal quantum computation using the IBM quantum computer and show that it is a viable tool for compiling near-term quantum simulation algorithms. We develop code that decomposes arbitrary 3-qubit gates and implement it in a quantum simulation first for a linear ordered chain to highlight the generality of the approach, and second, for a complex molecule. We choose the Fenna-Matthews-Olsen (FMO) photosynthetic protein because it has a well characterised Hamiltonian and presents a complex dissipative system coupled to a noisy environment that helps to improve the efficiency of energy transport. The method can be implemented in a broad range of molecular and other simulation settings.

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