Probe of topological invariants using quantum walks of a trapped ion in coherent state space

2020 ◽  
Vol 29 (7) ◽  
pp. 070501
Author(s):  
Ya Meng ◽  
Feng Mei ◽  
Gang Chen ◽  
Suo-Tang Jia
Keyword(s):  
Coherent State ◽  
State Space ◽  
Quantum Walks ◽  
Topological Invariants ◽  
Trapped Ion

scholarly journals Observing Topological Invariants Using Quantum Walks in Superconducting Circuits

2017 ◽  
Vol 7 (3) ◽  
Author(s):  
E. Flurin ◽  
V. V. Ramasesh ◽  
S. Hacohen-Gourgy ◽  
L. S. Martin ◽  
N. Y. Yao ◽  
...  
Keyword(s):  
Quantum Walks ◽  
Topological Invariants ◽  
Superconducting Circuits

scholarly journals Quantum walks and Dirac cellular automata on a programmable trapped-ion quantum computer

2020 ◽  
Vol 11 (1) ◽  
Author(s):  
C. Huerta Alderete ◽  
Shivani Singh ◽  
Nhung H. Nguyen ◽  
Daiwei Zhu ◽  
Radhakrishnan Balu ◽  
...  
Keyword(s):  
Cellular Automata ◽  
Quantum Computer ◽  
Quantum Walks ◽  
Trapped Ion

scholarly journals Direct Probe of Topological Invariants Using Bloch Oscillating Quantum Walks

2017 ◽  
Vol 118 (13) ◽  
Author(s):  
V. V. Ramasesh ◽  
E. Flurin ◽  
M. Rudner ◽  
I. Siddiqi ◽  
N. Y. Yao
Keyword(s):  
Quantum Walks ◽  
Topological Invariants ◽  
Bloch Oscillating

A NEW PARAMETER OF ENTANGLEMENT FOR A QUBIT SYSTEM PLACED INSIDE A DISSIPATIVE CAVITY

2011 ◽  
Vol 09 (04) ◽  
pp. 1091-1100 ◽  
Author(s):  
S. ABDEL-KHALEK ◽  
A.-S. F. OBADA
Keyword(s):  
Sudden Death ◽  
Coherent State ◽  
Fisher Information ◽  
Marginal Distribution ◽  
Single Mode ◽  
Trapped Ion ◽  
Dissipation Effect ◽  
Qubit System ◽  
Quantized Field

The entanglement in a system of a single two-level trapped ion and a single-mode quantized field in a coherent state inside a phase-damped cavity is investigated. Analytic results under certain parametric conditions are obtained, by means of which we analyze the influence of dissipation on the atomic Fisher information and its marginal distribution. An interesting relation between the temporal entanglement sudden birth, sudden death, atomic Fisher information and the dissipation effect is observed.

Simulating Stochastic Diffusions by Quantum Walks

2013 ◽  
Author(s):  
Yan Wang
Keyword(s):  
Monte Carlo ◽  
State Space ◽  
Path Integral ◽  
Diffusion Processes ◽  
Planck Equation ◽  
Quantum Walk ◽  
Quantum Walks ◽  
Step Size ◽  
Stochastic Diffusion ◽  
Time Quantum

Stochastic differential equation (SDE) and Fokker-Planck equation (FPE) are two general approaches to describe the stochastic drift-diffusion processes. Solving SDEs relies on the Monte Carlo samplings of individual system trajectory, whereas FPEs describe the time evolution of overall distributions via path integral alike methods. The large state space and required small step size are the major challenges of computational efficiency in solving FPE numerically. In this paper, a generic continuous-time quantum walk formulation is developed to simulate stochastic diffusion processes. Stochastic diffusion in one-dimensional state space is modeled as the dynamics of an imaginary-time quantum system. The proposed quantum computational approach also drastically accelerates the path integrals with large step sizes. The new approach is compared with the traditional path integral method and the Monte Carlo trajectory sampling.

scholarly journals Measuring topological invariants in disordered discrete-time quantum walks

2017 ◽  
Vol 96 (3) ◽  
Author(s):  
Sonja Barkhofen ◽  
Thomas Nitsche ◽  
Fabian Elster ◽  
Lennart Lorz ◽  
Aurél Gábris ◽  
...  
Keyword(s):  
Discrete Time ◽  
Quantum Walks ◽  
Topological Invariants ◽  
Time Quantum

Quantum-state engineering of a trapped ion by coherent-state superpositions

1999 ◽  
Vol 59 (4) ◽  
pp. 2920-2925 ◽  
Author(s):  
H. Moya-Cessa ◽  
S. Wallentowitz ◽  
W. Vogel
Keyword(s):  
Coherent State ◽  
Quantum State ◽  
Trapped Ion ◽  
Quantum State Engineering

scholarly journals Detecting Topological Invariants in Nonunitary Discrete-Time Quantum Walks

2017 ◽  
Vol 119 (13) ◽  
Author(s):  
Xiang Zhan ◽  
Lei Xiao ◽  
Zhihao Bian ◽  
Kunkun Wang ◽  
Xingze Qiu ◽  
...  
Keyword(s):  
Discrete Time ◽  
Quantum Walks ◽  
Topological Invariants ◽  
Time Quantum

scholarly journals Effective Generation of Cat and Kitten States

2007 ◽  
Vol 14 (01) ◽  
pp. 81-90 ◽  
Author(s):  
Magdalena Stobińska ◽  
G. J. Milburn ◽  
Krzysztof Wódkiewicz
Keyword(s):  
Coherent State ◽  
Coherent States ◽  
Paul Trap ◽  
Trapped Ion ◽  
Effective Generation ◽  
State Generation ◽  
Available Technology

We present an effective method of coherent state superposition (cat state) generation using single trapped ion in a Paul trap. The method is experimentally feasible for coherent states with amplitude α ≤ 2 using available technology. It works both in and beyond the Lamb-Dicke regime.

Sign in / Sign up

Export Citation Format

Share Document