Experimental quantum processing enhancement in modelling stochastic processes
arXiv:1602.05683 · doi:10.1126/sciadv.1601302
Abstract
Computer simulation of observable phenomena is an indispensable tool for engineering new technology, understanding the natural world, and studying human society. Yet the most interesting systems are often complex, such that simulating their future behaviour demands storing immense amounts of information regarding how they have behaved in the past. For increasingly complex systems, simulation becomes increasingly difficult and is ultimately constrained by resources such as computer memory. Recent theoretical work shows quantum theory can reduce this memory requirement beyond ultimate classical limits (as measured by a process' statistical complexity, C). Here we experimentally demonstrate this quantum advantage in simulating stochastic processes. Our quantum implementation observes a memory requirement of C_q = 0.05 0.01, far below the ultimate classical limit of C = 1. Scaling up this technique would substantially reduce the memory required in simulation of more complex systems.
7 pages, 4 figures
References in corpus (5)
Cited by in corpus (33)
- Opportunities and challenges for quantum-assisted machine learning in near-term quantum computers
- Kochen-Specker Contextuality
- Quantum stochastic processes and quantum non-Markovian phenomena
- A practical, unitary simulator for non-Markovian complex processes
- Entangling measurements for multiparameter estimation with two qubits
- Extreme dimensionality reduction with quantum modelling
- A Closed-Form Shave from Occam's Quantum Razor: Exact Results for Quantum Compression
- Optimal stochastic modelling with unitary quantum dynamics
- Optimal classical simulation of state-independent quantum contextuality
- Geometrical bounds on irreversibility in open quantum systems
- Extreme Quantum Advantage for Rare-Event Sampling
- Superior memory efficiency of quantum devices for the simulation of continuous-time stochastic processes
- Unbounded memory advantage in stochastic simulation using quantum mechanics
- The classical-quantum divergence of complexity in modelling spin chains
- Matrix Product States for Quantum Stochastic Modelling
- Causal Asymmetry in a Quantum World
- Interfering trajectories in experimental quantum-enhanced stochastic simulation
- Memory compression and thermal efficiency of quantum implementations of non-deterministic hidden Markov models
- Single-shot quantum memory advantage in the simulation of stochastic processes
- Memory-efficient tracking of complex temporal and symbolic dynamics with quantum simulators
- Thermal Efficiency of Quantum Memory Compression
- Robust inference of memory structure for efficient quantum modelling of stochastic processes
- Compressively certifying quantum measurements
- Quantum Communication Networks Enhanced by Distributed Quantum Memories
- Extreme Quantum Advantage when Simulating Strongly Coupled Classical Systems
- Surveying structural complexity in quantum many-body systems
- Error-tolerant witnessing of divergences in classical and quantum statistical complexity
- Enhancing quantum models of stochastic processes with error mitigation
- The Ambiguity of Simplicity
- Detector entanglement: Quasidistributions for Bell-state measurements
- Quantum-inspired memory-enhanced stochastic algorithms
- Quantum Dimension Reduction of Hidden Markov Models
- Energetic advantages for quantum agents in online execution of complex strategies