Training iterated protocols for distillation of GHZ states with variational quantum algorithms
arXiv:2311.04646 · doi:10.1016/j.physleta.2024.129349
Abstract
We present optimized distillation schemes for preparing Greenberger-Horne-Zeilinger (GHZ) states. Our approach relies on training variational quantum circuits with white noise affected GHZ states as inputs. Optimizing for a single iteration of the scheme, we find that it is possible to achieve an increased fidelity to the GHZ state, although further iterations decrease the fidelity. The same scheme, acting on coherently distorted pure-state inputs, is effective only in certain special cases. We show that radically different results can be achieved, however, when one optimizes for the output after two iterations of the protocol. In this case, the obtained schemes are more effective in distilling GHZ states from inputs affected by white noise. Moreover, they can also correct several types of coherent pure-state errors.
References in corpus (21)
- A variational eigenvalue solver on a quantum processor
- Variational Quantum Algorithms
- Hardware-efficient Variational Quantum Eigensolver for Small Molecules and Quantum Magnets
- The theory of variational hybrid quantum-classical algorithms
- Quantum autoencoders for efficient compression of quantum data
- Quantum Generative Adversarial Networks for Learning and Loading Random Distributions
- Multi-Particle Entanglement Purification Protocols
- Multiparticle entanglement purification for graph states
- Quantum Conference Key Agreement: A Review
- Multiparticle entanglement purification for two-colorable graph states
- Multipartite entanglement measures
- Optimized Entanglement Purification
- Distributing Multipartite Entanglement over Noisy Quantum Networks
- Approaching the theoretical limit in quantum gate decomposition
- Complex chaos in the conditional dynamics of qubits
- Multipartite state generation in quantum networks with optimal scaling
- Measurement induced chaos with entangled states
- Distillation of GHZ states by selective information manipulation
- Heterogeneous Multipartite Entanglement Purification for Size-Constrained Quantum Devices
- Phase Transition in Iterated Quantum Protocols for Noisy Inputs
- Protocols for creating and distilling multipartite GHZ states with Bell pairs