# A double-slit proposal for quantum annealing

@article{MunozBauza2019ADP, title={A double-slit proposal for quantum annealing}, author={Humberto Munoz-Bauza and Huo Chen and Daniel A. Lidar}, journal={npj Quantum Information}, year={2019}, volume={5}, pages={1-11} }

We formulate and analyze a double-slit proposal for quantum annealing, which involves observing the probability of finding a two-level system (TLS) undergoing evolution from a transverse to a longitudinal field in the ground state at the final time tf. We demonstrate that for annealing schedules involving two consecutive diabatic transitions, an interference effect is generated akin to a double-slit experiment. The observation of oscillations in the ground state probability as a function of tf…

## 10 Citations

Customized Quantum Annealing Schedules

- Environmental SciencePhysical Review Applied
- 2022

In a typical quantum annealing protocol, the system starts with a transverse ﬁeld Hamiltonian which is gradually turned oﬀ and replaced by a longitudinal Ising Hamiltonian. The ground state of the…

Finding spin glass ground states using quantum walks

- PhysicsNew Journal of Physics
- 2019

This work investigates the performance of continuous-time quantum walks as a tool for finding spin glass ground states, a problem that serves as a useful model for realistic optimization problems and uncover significant ways in which solving spin glass problems differs from applying quantum walks to the search problem.

A two-qubit entangling gate based on a two-spin gadget

- Physics
- 2022

The faster speed and operational convenience of two-qubit gate with flux bias control makes it an important candidate for future large-scale quantum computers based on high coherence flux qubits.…

Demonstration of long-range correlations via susceptibility measurements in a one-dimensional superconducting Josephson spin chain

- Physics
- 2021

s, Vol. 2018 (2018) p. C26.001. [12] A. Kerman, Paramagnet tree coupling of spin qubits (U.S. Patent 10 719 775, Jul. 21st, 2020). [13] S. J. Weber, G. O. Samach, D. Hover, S. Gustavsson, D. K. Kim,…

Dynamics of reverse annealing for the fully connected
p
-spin model

- PhysicsPhysical Review A
- 2019

Reverse annealing, a variant of quantum annealing, is investigated by probing quantum transitions in a $p$-spin model and comparing it with the predictions offered by equilibrium statistical…

Generalized adiabatic impulse approximation

- PhysicsPhysical Review A
- 2022

Non-adiabatic transitions in multilevel systems appear in various fields of physics, but it is not easy to analyze their dynamics in general. In this paper, we propose to extend the adiabatic impulse…

Why and When Pausing is Beneficial in Quantum Annealing

- Physics
- 2020

Recent empirical results using quantum annealing hardware have shown that mid anneal pausing has a surprisingly beneficial impact on the probability of finding the ground state for of a variety of…

Locally suppressed transverse-field protocol for diabatic quantum annealing

- PhysicsPhysical Review A
- 2021

Diabatic quantum annealing (DQA) is an alternative algorithm to adiabatic quantum annealing that can be used to circumvent the exponential slowdown caused by small minima in the annealing energy…

Probing the universality of topological defect formation in a quantum annealer: Kibble-Zurek mechanism and beyond

- Physics
- 2020

The number of topological defects created in a system driven through a quantum phase transition exhibits a power-law scaling with the driving time. This universal scaling law is the key prediction of…

Variationally scheduled quantum simulation

- Physics, Computer Science
- 2020

In the present work, a variational method for determining the optimal scheduling procedure within the context of adiabatic state preparation is investigated and is found to exhibit resilience against control errors, which are commonly encountered within the realm of quantum computing.

## References

SHOWING 1-10 OF 123 REFERENCES

Quantum annealing in the transverse Ising model

- Physics
- 1998

We introduce quantum fluctuations into the simulated annealing process of optimization problems, aiming at faster convergence to the optimal state. Quantum fluctuations cause transitions between…

Reexamination of the evidence for entanglement in a quantum annealer

- Physics
- 2015

A recent experiment [T. Lanting et al., Phys. Rev. X 4, 021041 (2014)] claimed to provide evidence of up to eight-qubit entanglement in a D-Wave quantum annealing device. However, entanglement was…

A coherent quantum annealer with Rydberg atoms

- PhysicsNature communications
- 2017

Combining the well-developed quantum simulation toolbox for Rydberg atoms with the recently proposed Lechner-Hauke-Zoller (LHZ) architecture allows one to build a prototype for a coherent adiabatic quantum computer with all-to-all Ising interactions and, therefore, a platform for quantum annealing.

Quantum annealing for the number-partitioning problem using a tunable spin glass of ions

- PhysicsNature communications
- 2016

This work demonstrates that in a trapped ion setup, with present day technology, it is possible to realize a spin model of the Mattis-type that exhibits spin glass phases by controlling the detuning of the spin-phonon coupling.

Reverse annealing for the fully connected
p
-spin model

- PhysicsPhysical Review A
- 2018

Reverse annealing is a variant of quantum annealing that starts from a given classical configuration of spins (qubits). In contrast to the conventional formulation, where one starts from a uniform…

The performance of the quantum adiabatic algorithm on spike Hamiltonians

- Physics, Computer Science
- 2015

An improved ansatz for the ground state leads to a method for predicting the location of avoided crossings in the excited energy states of the thin spike Hamiltonian, and a recursion relation is used to understand the ordering of some of these avoided crossings as a step towards analyzing the previously observed diabatic cascade phenomenon.

Exploring More-Coherent Quantum Annealing

- Physics2018 IEEE International Conference on Rebooting Computing (ICRC)
- 2018

This paper discusses recent experimental progress related to one of the key design dimensions: qubit coherence, and reports on techniques and preliminary measurement results addressing two of the challenges: crosstalk calibration and qubit readout.

Quantum annealing with manufactured spins

- PhysicsNature
- 2011

This programmable artificial spin network bridges the gap between the theoretical study of ideal isolated spin networks and the experimental investigation of bulk magnetic samples, and may provide a practical physical means to implement a quantum algorithm, possibly allowing more-effective approaches to solving certain classes of hard combinatorial optimization problems.

Tunneling and speedup in quantum optimization for permutation-symmetric problems

- Physics
- 2015

Tunneling is often claimed to be the key mechanism underlying possible speedups in quantum optimization via quantum annealing (QA), especially for problems featuring a cost function with tall and…