Zeno-effect Computation: Opportunities and Challenges
arXiv:2311.08432 · doi:10.1103/PhysRevA.111.042623
Abstract
Adiabatic quantum computing has demonstrated how quantum Zeno can be used to construct quantum optimisers. However, much less work has been done to understand how more general Zeno effects could be used in a similar setting. We use a construction based on three state systems rather than directly in qubits, so that a qubit can remain after projecting out one of the states. We find that our model of computing is able to recover the dynamics of a transverse field Ising model, several generalisations are possible, but our methods allow for constraints to be implemented non-perturbatively and does not need tunable couplers, unlike simple transverse field implementations. We further discuss how to implement the protocol physically using methods building on STIRAP protocols for state transfer. We find a substantial challenge, that settings defined exclusively by measurement or dissipative Zeno effects do not allow for frustration, and in these settings pathological spectral features arise leading to unfavorable runtime scaling. We discuss methods to overcome this challenge for example including gain as well as loss as is often done in an optical setting.
Submitted to PRA, v2 contains edits made at referee request, further mostly structural changes (creation of supplemental material) at referee request in v3
References in corpus (31)
- Quantum Mechanics helps in searching for a needle in a haystack
- Quantum Annealing in the Transverse Ising Model
- A Quantum Engineer's Guide to Superconducting Qubits
- Adiabatic Quantum Computing
- Strengths and Weaknesses of Quantum Computing
- Measurement-based quantum computation
- Holonomic Quantum Computation
- Stimulated Raman adiabatic passage in physics, chemistry and beyond
- Quantum Search by Local Adiabatic Evolution
- Quantum Computing Using Dissipation to Remain in a Decoherence-Free Subspace
- Prospects for Quantum Enhancement with Diabatic Quantum Annealing
- Hybrid quantum-classical algorithms in the noisy intermediate-scale quantum era and beyond
- Reverse annealing for the fully connected -spin model
- Modernizing Quantum Annealing using Local Searches
- Robust quantum logic in neutral atoms via adiabatic Rydberg dressing
- Dynamics of reverse annealing for the fully-connected -spin model
- Noise-enhanced spatial-photonic Ising machine
- Coherent Ising machines -- Quantum optics and neural network perspectives
- An Introduction to the Transmon Qubit for Electromagnetic Engineers
- Quantum annealing with longitudinal bias fields
- Antibunched Emission of Photon-Pairs via Quantum Zeno Blockade
- NP-hard but no longer hard to solve? Using quantum computing to tackle optimization problems
- Experimental demonstration of interaction-free all-optical switching via the quantum Zeno effect
- One bound to rule them all: from Adiabatic to Zeno
- An energetic perspective on rapid quenches in quantum annealing
- Photonic Nonlinearities via Quantum Zeno Blockade
- Interaction-Free All-Optical Switching via Quantum-Zeno Effect
- Guided quantum walk
- Continuous-time quantum walks for MAX-CUT are hot
- Rapid quantum approaches for combinatorial optimisation inspired by optimal state-transfer
- Grover Speedup from Many Forms of the Zeno Effect