Quantum switch instabilities with an open control

Abstract

The superposition of causal order shows promise in various quantum technologies. However, the fragility of quantum systems arising from environmental interactions, leading to dissipative behavior and irreversibility, demands a deeper understanding of the possible instabilities in the coherent control of causal orders. In this work, we employ a collisional model to investigate the impact of an open control system on the generation of interference between two causal orders. We present the environmental instabilities for the switch of two arbitrary quantum operations and examine the influence of environmental temperature on each potential outcome of control post-selection. Additionally, we explore how environmental instabilities affect protocol performance, including switching between mutually unbiased measurement observables and refrigeration powered by causal order superposition, providing insights into broader implications.

7+8 pages, 3+7 figures

References in corpus (5)

• Experimental Aspects of Indefinite Causal Order in Quantum Mechanics
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• Open system dynamics from thermodynamic compatibility
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Cited by in corpus (5)

• Super-Optimal Charging of Quantum Batteries via Reservoir Engineering
• Two-time weak measurement protocol for ergotropy protection in open quantum batteries
• High-dimensional monitoring and the emergence of realism via multiple observers
• Charge-Preserving Operations in Quantum Batteries
• Correlations in a quantum switch-based heat engine with measurements: A proof-of-principle demonstration