Using a quantum computer to investigate quantum chaos
arXiv:quant-ph/9705016 · doi:10.1103/PhysRevA.57.1634
Abstract
We show that the quantum baker's map, a prototypical map invented for theoretical studies of quantum chaos, has a very simple realization in terms of quantum gates. Chaos in the quantum baker's map could be investigated experimentally on a quantum computer based on only 3 qubits.
4 pages, REVTEX, no figures
Cited by in corpus (56)
- Decoherence, einselection, and the quantum origins of the classical
- Quantum Simulation
- Implementation of the Quantum Fourier Transform
- Random Quantum Circuits and Pseudo-Random Operators: Theory and Applications
- Quantum Process Tomography of the Quantum Fourier Transform
- Quantum computers in phase space
- Fidelity Decay as an Efficient Indicator of Quantum Chaos
- Entangling power of quantized chaotic systems
- Using Quantum Computers for Quantum Simulation
- Entangling power of the quantum baker's map
- Calculating the Thermal Rate Constant with Exponential Speed-Up on a Quantum Computer
- Efficient Quantum Computing of Complex Dynamics
- Gauging classical and quantum integrability through out-of-time ordered correlators
- Experimental Implementation of the Quantum Baker's Map
- Exponential speed-up with a single bit of quantum information: Testing the quantum butterfly effect
- Exponential Gain in Quantum Computing of Quantum Chaos and Localization
- Quantum chaos and random matrix theoryfor fidelity decay in quantum computationswith static imperfections
- Quantum error correction of coherent errors by randomization
- Entanglement Generation of Nearly-Random Operators
- Quantum Computing of Quantum Chaos in the Kicked Rotator Model
- Decoherence for classically chaotic quantum maps
- Realizing the quantum baker's map on an NMR quantum computer
- Dynamical localization simulated on a few qubits quantum computer
- Testing integrability with a single bit of quantum information
- New quantum algorithm for studying NP-complete problems
- Imperfection effects for multiple applications of the quantum wavelet transform
- Simulating noisy quantum protocols with quantum trajectories
- Quantum Computation of a Complex System : the Kicked Harper Model
- Classical limit in terms of symbolic dynamics for the quantum baker's map
- Quantum computation of the Anderson transition in presence of imperfections
- Detecting entanglement of random states with an entanglement witness
- Semiclassical properties and chaos degree for the quantum baker's map
- Quantum computation and analysis of Wigner and Husimi functions: toward a quantum image treatment
- Scalable Qubit Representations of Neutrino Mixing Matrices
- Entangling power of baker's map: Role of symmetries
- The classical limit for a class of quantum baker's maps
- Quantum chaos algorithms and dissipative decoherence with quantum trajectories
- Quantum baker map on the sphere
- Intermediate quantum maps for quantum computation
- Classical versus quantum errors in quantum computation of dynamical systems
- Quantum chaos in quantum Turing machines
- Exponential speedup in measuring out-of-time-ordered correlators with a single bit of quantum information
- Quantum computation of multifractal exponents through the quantum wavelet transform
- Dynamical localization simulated on actual quantum hardware
- Observability of fidelity decay at the Lyapunov rate in few-qubit quantum simulations
- Effects of Noise, Correlations and errors in the preparation of initial states in Quantum Simulations
- The modular multiplication operator and the quantized bakers maps
- Quantum computing and information extraction for a dynamical quantum system
- Quantum non-Markovian behavior at the chaos border
- Quantum chaos in small quantum networks
- Quantum computing of semiclassical formulas
- Quantum baker maps with controlled-NOT coupling
- Quantum computation of nonlinear maps
- Shifts on a finite qubit string: A class of quantum baker's maps
- Quantum Mechanics on a Torus
- Hamiltonian Engineering in Quantum Spin Networks