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Register a new userTsirelsons bound and Landauers principle in a single-system game
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We introduce a simple single-system game inspired by the Clauser-Horne-Shimony-Holt (CHSH) game. For qubit systems subjected to unitary gates and projective measurements, we prove that any strategy in our game can be mapped to a strategy in the CHSH game, which implies that Tsirelsons bound also holds in our setting. More generally, we show that the optimal success probability depends on the reversible or irreversible character of the gates, the quantum or classical nature of the system and the system dimension. We analyse the bounds obtained in light of Landauers principle, showing the entropic costs of the erasure associated with the game. This shows a connection between the reversibility in fundamental operations embodied by Landauers principle and Tsirelsons bound, that arises from the restricted physics of a unitarily-evolving single-qubit system.
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We investigate the link between information and thermodynamics embodied by Landauers principle in the open dynamics of a multipartite quantum system. Such irreversible dynamics is described in terms of a collisional model with a finite temperature reservoir. We demonstrate that Landauers principle holds, for such a configuration, in a form that involves the flow of heat dissipated into the environment and the rate of change of the entropy of the system. Quite remarkably, such a principle for {it heat and entropy power} can be explicitly linked to the rate of creation of correlations among the elements of the multipartite system and, in turn, the non-Markovian nature of their reduced evolution. Such features are illustrated in two exemplary cases.
We study Landauers Principle for Repeated Interaction Systems (RIS) consisting of a reference quantum system $mathcal{S}$ in contact with a structured environment $mathcal{E}$ made of a chain of independent quantum probes; $mathcal{S}$ interacts with each probe, for a fixed duration, in sequence. We first adapt Landauers lower bound, which relates the energy variation of the environment $mathcal{E}$ to a decrease of entropy of the system $mathcal{S}$ during the evolution, to the peculiar discrete time dynamics of RIS. Then we consider RIS with a structured environment $mathcal{E}$ displaying small variations of order $T^{-1}$ between the successive probes encountered by $mathcal{S}$, after $nsimeq T$ interactions, in keeping with adiabatic scaling. We establish a discrete time non-unitary adiabatic theorem to approximate the reduced dynamics of $mathcal{S}$ in this regime, in order to tackle the adiabatic limit of Landauers bound. We find that saturation of Landauers bound is equivalent to a detailed balance condition on the repeated interaction system, reflecting the non-equilibrium nature of the repeated interaction system dynamics. This is to be contrasted with the generic saturation of Landauers bound known to hold for continuous time evolution of an open quantum system interacting with a single thermal reservoir in the adiabatic regime.
New concepts from nonequilibrium thermodynamics are used to show that Landauers principle can be understood in terms of time asymmetry in the dynamical randomness generated by the physical process of the erasure of digital information. In this way, Landauers principle is generalized, showing that the dissipation associated with the erasure of a sequence of bits produces entropy at the rate $k_{{rm B}}I$ per erased bit, where $I$ is Shannons information per bit.
Landauers principle states that erasure of each bit of information in a system requires at least a unit of energy $k_B T ln 2$ to be dissipated. In return, the blank bit may possibly be utilized to extract usable work of the amount $k_B T ln 2$, in keeping with the second law of thermodynamics. While in principle any collection of spins can be utilized as information storage, work extraction by utilizing this resource in principle requires specialized engines that are capable of using this resource. In this work, we focus on heat and charge transport in a quantum spin Hall device in the presence of a spin bath. We show how a properly initialized nuclear spin subsystem can be used as a memory resource for a Maxwells Demon to harvest available heat energy from the reservoirs to induce charge current that can power an external electrical load. We also show how to initialize the nuclear spin subsystem using applied bias currents which necessarily dissipate energy, hence demonstrating Landauers principle. This provides an alternative method of energy storage in an all-electrical device. We finally propose a realistic setup to experimentally observe a Landauer erasure/work extraction cycle.
The energy-level structure of a single atom strongly coupled to the mode of a high-finesse optical cavity is investigated. The atom is stored in an intracavity dipole trap and cavity cooling is used to compensate for inevitable heating. Two well-resolved normal modes are observed both in the cavity transmission and the trap lifetime. The experiment is in good agreement with a Monte Carlo simulation, demonstrating our ability to localize the atom to within $lambda/10$ at a cavity antinode.
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