Infinite-range transverse field Ising models and quantum computation
arXiv:1409.4871 · doi:10.1140/epjst/e2015-02348-x
Abstract
We present a brief review on information processing, computing and inference via quantum fluctuation, and clarify the relationship between the probabilistic information processing and theory of quantum spin glasses through the analysis of the infinite-range model. We also argue several issues to be solved for the future direction in the research field.
13 pages, 6 figures, using svjour.cls, to appear in EPJ-Special Topics
References in corpus (16)
- Quantum Annealing in the Transverse Ising Model
- A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem
- Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
- Theory of Quantum Annealing of an Ising Spin Glass
- Experimental signature of programmable quantum annealing
- The Kibble-Zurek Problem: Universality and the Scaling Limit
- Size dependence of the minimum excitation gap in the Quantum Adiabatic Algorithm
- Statistical mechanics of image restoration and error-correcting codes
- Sign- and magnitude-tunable coupler for superconducting flux qubits
- Application of the quantum spin glass theory to image restoration
- Quantum Effects in Neural Networks
- Phase diagram of the -spin-interacting spin glass with ferromagnetic bias and a transverse field in the infinite- limit
- Thermal, quantum and simulated quantum annealing: analytical comparisons for simple models
- Quantum phase transition in a disordered long-range transverse Ising antiferromagnet
- Analysis of the long-range random field quantum antiferromagnetic Ising model
- Deterministic flows of order-parameters in stochastic processes of quantum Monte Carlo method