Noise-resilient preparation of quantum many-body ground states
arXiv:1703.00032
Abstract
Certain quantum many-body ground states can be prepared by a large-depth quantum circuit consisting of geometrically local gates. In the presence of noise, local expectation values deviate from the correct value at most by an amount comparable to the noise rate. This happens if the action of the noiseless circuit, restricted to certain subsystems, rapidly mixes local observables up to a small correction. The encoding circuit for the surface code is given as an example.
23 pages, 10 figures
References in corpus (9)
- Surface codes: Towards practical large-scale quantum computation
- Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
- Matrix Product Density Operators: Simulation of finite-T and dissipative systems
- A class of quantum many-body states that can be efficiently simulated
- Towards fault-tolerant quantum computing with trapped ions
- Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions
- Quantum fault tolerance in small experiments
- Rapid mixing and stability of quantum dissipative systems
- Holographic quantum simulation