Resource theories with completely passive states and passive states as free states
- URL: http://arxiv.org/abs/2408.13641v3
- Date: Tue, 10 Sep 2024 13:25:54 GMT
- Title: Resource theories with completely passive states and passive states as free states
- Authors: Gianluca Francica,
- Abstract summary: Work extractable from quantum system is a resource that can be related to some resource theory.
By considering completely passive states and passive states as free states, we formulate resource theories where the maximum work extractable is a monotone.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Work extractable from quantum system is a resource that can be related to some resource theory. By considering completely passive states and passive states as free states, we formulate resource theories where the maximum work extractable is a monotone, showing how the definition of a temperature plays a pivotal role in the resource theories.
Related papers
- General detectability measure [53.64687146666141]
Distinguishing resource states from resource-free states is a fundamental task in quantum information.
We derived the optimal exponential decay rate of the failure probability for detecting a given $n$-tensor product state.
arXiv Detail & Related papers (2025-01-16T05:39:22Z) - Choi-Defined Resource Theories [0.0]
We refer to resource theories exhibiting this property as Choi-defined resource theories.
We prove that when such a construction is possible, the free operations are all and only the completely resource non-generating operations.
arXiv Detail & Related papers (2024-02-19T21:51:01Z) - Accelerating Reinforcement Learning with Value-Conditional State Entropy Exploration [97.19464604735802]
A promising technique for exploration is to maximize the entropy of visited state distribution.
It tends to struggle in a supervised setup with a task reward, where an agent prefers to visit high-value states.
We present a novel exploration technique that maximizes the value-conditional state entropy.
arXiv Detail & Related papers (2023-05-31T01:09:28Z) - A resource theory of activity for quantum thermodynamics in the absence
of heat baths [1.7249667050060835]
Active states are an important resource for quantum thermodynamics in the absence of heat baths.
We establish a resource theory that captures the operational scenario where an experimenter manipulates a quantum system by means of energy-preserving operations and resets to non-active states.
arXiv Detail & Related papers (2023-04-18T12:01:33Z) - Resource Theory of Imaginarity: New Distributed Scenarios [48.7576911714538]
imaginarity studies the operational value of imaginary parts in quantum states, operations, and measurements.
This arises naturally in bipartite systems where both parties work together to generate the maximum possible imaginarity on one of the subsystems.
We present a scenario that demonstrates the operational advantage of imaginarity: the discrimination of quantum channels without the aid of an ancillary system.
arXiv Detail & Related papers (2023-01-12T02:05:08Z) - The power of noisy quantum states and the advantage of resource dilution [62.997667081978825]
Entanglement distillation allows to convert noisy quantum states into singlets.
We show that entanglement dilution can increase the resilience of shared quantum states to local noise.
arXiv Detail & Related papers (2022-10-25T17:39:29Z) - Quantifying EPR: the resource theory of nonclassicality of common-cause
assemblages [0.0]
An alternative perspective on steering is that Alice has no causal influence on the physical state of Bob's system.
We develop a resource-theoretic treatment of correlations in EPR scenarios.
We show that resource conversion under free operations in this paradigm can be evaluated with a single instance of a semidefinite program.
arXiv Detail & Related papers (2021-11-19T14:25:28Z) - Partial order on passive states and Hoffman majorization in quantum
thermodynamics [1.933681537640272]
We introduce a partial order on the set of passive states that captures the idea of a passive state being virtually cooler than another one.
We characterize the quantum operations that are closed on the set of virtually cooler states with respect to some fixed input and output passive states.
The prospect of this work is a general resource-theoretical framework for the extractable work via quantum operations going beyond thermal operations.
arXiv Detail & Related papers (2020-12-21T19:00:22Z) - Operational Resource Theory of Imaginarity [48.7576911714538]
We show that quantum states are easier to create and manipulate if they only have real elements.
As an application, we show that imaginarity plays a crucial role for state discrimination.
arXiv Detail & Related papers (2020-07-29T14:03:38Z) - Whence the Expected Free Energy? [68.8204255655161]
We show that the Expected Free Energy (EFE) is not simply "the free energy in the future"
We then develop a novel objective, the Free-Energy of the Expected Future (FEEF)
arXiv Detail & Related papers (2020-04-17T09:06:56Z) - General Quantum Resource Theories: Distillation, Formation and
Consistent Resource Measures [3.8073142980733]
Quantum resource theories (QRTs) provide a unified theoretical framework for understanding inherent quantum-mechanical properties that serve as resources in quantum information processing.
But resources motivated by physics may possess intractable mathematical structure to analyze, such as non-uniqueness of maximally resourceful states, lack of convexity, and infinite dimension.
We investigate state conversion and resource measures in general QRTs under minimal assumptions to figure out universal properties of physically motivated quantum resources.
arXiv Detail & Related papers (2020-02-06T19:00:01Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.