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Heat as a witness of quantum properties

Published 12 Aug 2024 in quant-ph | (2408.06418v2)

Abstract: We present a new approach for witnessing quantum resources, such as entanglement and coherence, based on heat generation. Inspired by Maxwell's demon, we ask what the optimal heat exchange between a quantum system and a thermal environment is when the process is assisted by a quantum memory. We derive fundamental energy constraints in this scenario and show that quantum states can reveal non-classical signatures via heat exchange. This approach leads to a heat-based witness for quantum properties, offering an alternative to system-specific measurements, as it only relies on fixed energy measurements in a thermal ancilla. We illustrate our findings with the detection of entanglement in isotropic states and coherence in two-spin systems interacting with a single-mode electromagnetic field.

Citations (1)

Summary

  • The paper introduces a novel method using heat exchange with a quantum memory to witness quantum properties like entanglement and coherence.
  • The approach employs a thermodynamic process with a catalytic memory, analyzing heat flows via convex optimization to identify quantum states in example systems like Werner states and two-spin systems.
  • This research offers an alternative, potentially less intrusive, diagnostic tool for quantum resources and has implications for enhancing quantum metrology and future quantum technologies.

Heat as a Witness of Quantum Properties

The paper "Heat as a witness of quantum properties" introduces a novel approach to identifying quantum resources such as entanglement and coherence through heat generation. The authors, A. de Oliveira Junior, Jonatan Bohr Brask, and Patryk Lipka-Bartosik, propose a method that utilizes heat exchange between a quantum system and its thermal environment, facilitated by a quantum memory. The underlying inspiration comes from the concept of Maxwell's demon, where the heat exchange in a thermodynamic cycle is used to reveal non-classical signatures of quantum states.

Key Concepts and Methodology

The research highlights the integration of thermodynamics with quantum information theory. The central thesis is that quantum states can be effectively characterized by observing heat flows in a controlled thermodynamic process involving a quantum memory. This setup consists of a main quantum system, a thermal environment, and a memory system. During the interaction, governed by energy-conserving unitary processes, the heat exchanged becomes indicative of quantum properties like entanglement and coherence.

Key to this approach is the concept of "catalytic" thermal operations, where the memory acts catalytically—participating in the thermodynamic transformations without altering its own state. This framework permits a generalized form of Maxwell's demon, which can surpass classical limits of heat transfer, thereby evidencing underlying quantum characteristics.

To validate their model, the authors employ a convex optimization strategy to quantify the maximum and minimum heat exchangeable under the given setup. They then derive expressions to outline the feasible heat flows, using these to establish a diagnostic tool or "witness" for quantum properties.

Applications and Results

The method was applied to two example systems: bipartite isotropic (Werner) states for entanglement detection, and a two-spin system to certify quantum coherence. The heat-based tests are designed to detect entanglement in scenarios where traditional approaches may be cumbersome or infeasible. For instance, in the analysis of Werner states, the approach accurately described the conditions under which entanglement could be witnessed through heat exchange, with a critical parameterization that exceeds classical detection limits. Similarly, certifying coherence involves demonstrating a clear thermodynamic signature when conventional energy or particle measurements might fail.

In these examples, the heating and cooling process facilitated by the quantum memory effectively acts as a witnessing mechanism, identifying entangled states beyond classical restrictiveness. This demonstrates the practical applicability of the proposed methodology, with available experimental platforms capable of testing these insights, suggesting potential practical applications in quantum thermodynamics and information science.

Implications and Future Work

This research extends the boundaries of how quantum resources can be diagnosed, offering an alternative to typical measurement-based quantum characterizations. The implications are significant, particularly in fields where minimal intrusive measures are advantageous or where system-specific measurements are difficult to perform. The framework indicates potential for more efficient diagnostics of multiparticle entanglement or coherence without exhaustive state tomography.

The authors suggest further exploration of quantum catalysis and thermodynamics through this lens, raising questions about the boundaries of quantum memory systems and their exploitation in other quantum information protocols. Additionally, the approach enriches the theoretical discourse on the interplay between thermodynamics and quantum mechanics, a growing field with wide-ranging implications for future quantum technologies. Future work could involve rigorous experimental validation of these theoretical results, potentially leading to enhanced quantum metrology techniques and new paradigms in quantum computing and communications.

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