Generation of polarization entanglement via the quantum Zeno effect

Nodurft, I. C.; Shaw, Harry; Glasser, Ryan T.; Kirby, Brian T.; Searles, Thomas A.

doi:10.1364/oe.464550

Cited by 4 publications

(2 citation statements)

References 42 publications

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“…The FUMES strategy is based on unitarily evolving a state with respect to a known Hamiltonian up to a point where the fidelity between the state in hand and the target state is maximized, F(ψ, ψ targ ) = ψ|ψ targ , then making a probabilistic projective measurement [18]. The Z-FUMES strategy implements the same search algorithm, but makes use of the quantum Zeno effect [20][21][22][23], to "lock", i.e. halt the evolution of, certain subspaces of the system to gradually shrink the total search space [24][25][26].…”

Section: Introductionmentioning

confidence: 99%

“…halt the evolution of, certain subspaces of the system to gradually shrink the total search space [24][25][26]. Example applications of measurement back-action methods include the control of qubits for quantum computing [17,[27][28][29], in control of quantum optical systems [23,30], and in control of critical behaviour of quantum gases [31][32][33].…”

Section: Introductionmentioning

confidence: 99%

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ManQala: Game-Inspired Strategies for Quantum State Engineering

Danaci¹,

Zhang²,

Coleman³

et al. 2023

Preprint

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The ability to prepare systems in specific target states through quantum engineering is essential for realizing the new technologies promised by a second quantum revolution. Here, we recast the fundamental problem of state preparation in high-dimensional Hilbert spaces as ManQala, a quantum game inspired by the West African sowing game mancala. Motivated by optimal gameplay in solitaire mancala, where nested nearest-neighbor permutations and actions evolve the state of the game board to its target configuration, ManQala acts as a pre-processing approach for deterministically arranging particles in a quantum control problem. Once pre-processing with ManQala is complete, existing quantum control methods are applied, but now with a reduced search space. We find that ManQala-type strategies match, or outperform, competing approaches in terms of final state variance even in small-scale quantum state engineering problems where we expect the slightest advantage, since the relative reduction in search space is the least. These results suggest that Man-Qala provides a rich platform for designing control protocols relevant to near-term intermediate-scale quantum technologies.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

ManQala: Game-Inspired Strategies for Quantum State Engineering

Danaci¹,

Zhang²,

Coleman³

et al. 2023

Preprint

View full text Add to dashboard Cite

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Stochastic quantum trajectories demonstrate the quantum Zeno effect in open spin 1/2, spin 1 and spin 3/2 systems

Walls,

Schachter,

Qian

et al. 2024

J. Phys. A: Math. Theor.

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We investigate the Quantum Zeno Effect in spin 1/2, spin 1 and spin 3/2 open quantum systems undergoing Rabi oscillations, revealing unexplored features for the spin 1 and spin 3/2 systems. The systems interact with an environment designed to perform continuous measurements of an observable, driving the systems stochastically towards one of the eigenstates of the corresponding operator. The system-environment coupling constant represents the strength of the measurement. Stochastic quantum trajectories are generated by unravelling a Markovian Lindblad master equation using the quantum state diffusion formalism. These are regarded as a more appropriate representation of system behaviour than consideration of the averaged evolution since the latter can mask the effect of measurement. Complete positivity is maintained and thus the trajectories can be considered as physically meaningful. The Quantum Zeno Effect is investigated over a range of measurement strengths. Increasing the strength leads to greater system dwell in the vicinity of the eigenstates of the measured observable and lengthens the time taken by the system to return to that eigenstate, thus the Quantum Zeno Effect emerges. For very strong measurement, the Rabi oscillations resemble randomly occurring near-instantaneous jumps between eigenstates. The trajectories followed by the quantum system are heavily dependent on the measurement strength which other than slowing down and adding noise to the Rabi oscillations, changes the paths taken in spin phase space from a circular precession into elaborate figures-of-eight. For spin 1 and spin 3/2 systems, the measurement strength determines which eigenstates are explored. and the Quantum Zeno Effect is stronger when the system dwells in the vicinity of certain eigenstates compared to others.

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ManQala: Game-inspired strategies for quantum state engineering

Danaci

Zhang

Coleman

et al. 2023

AVS Quantum Science

View full text Add to dashboard Cite

The ability to prepare systems in specific target states through quantum engineering is essential for realizing the new technologies promised by a second quantum revolution. Here, we recast the fundamental problem of state preparation in high-dimensional Hilbert spaces as ManQala, a quantum game inspired by the West African sowing game mancala. Motivated by optimal gameplay in solitaire mancala, where nested nearest-neighbor permutations and actions evolve the state of the game board to its target configuration, ManQala acts as a pre-processing approach for deterministically arranging particles in a quantum control problem. Once pre-processing with ManQala is complete, existing quantum control methods are applied, but now with a reduced search space. We find that ManQala-type strategies match, or outperform, competing approaches in terms of final state variance even in small-scale quantum state engineering problems where we expect the slightest advantage, since the relative reduction in search space is the least. These results suggest that ManQala provides a rich platform for designing control protocols relevant to quantum technologies.

show abstract

Generation of polarization entanglement via the quantum Zeno effect

Cited by 4 publications

References 42 publications

ManQala: Game-Inspired Strategies for Quantum State Engineering

ManQala: Game-Inspired Strategies for Quantum State Engineering

Stochastic quantum trajectories demonstrate the quantum Zeno effect in open spin 1/2, spin 1 and spin 3/2 systems

ManQala: Game-inspired strategies for quantum state engineering

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