Reference Frames Which Separately Store Noncommuting Conserved Quantities.

@article{Popescu2020ReferenceFW,
  title={Reference Frames Which Separately Store Noncommuting Conserved Quantities.},
  author={Sandu Popescu and Ana Bel{\'e}n Sainz and Anthony J. Short and Andreas J. Winter},
  journal={Physical review letters},
  year={2020},
  volume={125 9},
  pages={
          090601
        }
}
Even in the presence of conservation laws, one can perform arbitrary transformations on a system if given access to a suitable reference frame, since conserved quantities may be exchanged between the system and the frame. Here we explore whether these quantities can be separated into different parts of the reference frame, with each part acting as a "battery" for a distinct quantity. For systems composed of spin-1/2 particles, we show that the components of angular momentum S_{x}, S_{y}, and S_… Expand
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References

SHOWING 1-10 OF 36 REFERENCES
Quantum reference frames and their applications to thermodynamics
We construct a quantum reference frame, which can be used to approximately implement arbitrary unitary transformations on a system in the presence of any number of extensive conserved quantities, byExpand
Noncommuting conserved charges in quantum many-body thermalization.
TLDR
This work introduces noncommuting conserved quantities from QI-theoretic thermodynamics into quantum many-body physics: atomic, molecular, and optical physics and condensed matter. Expand
Thermodynamics of quantum systems with multiple conserved quantities
TLDR
This work presents explicit protocols that allow us to perform arbitrarily good trade-offs and extract arbitrarily good combinations of conserved quantities from individual quantum systems. Expand
Microcanonical and resource-theoretic derivations of the thermal state of a quantum system with noncommuting charges
TLDR
This work defines a resource-theory model for thermodynamic exchanges of noncommuting observables and investigates the thermal state of the grand canonical ensemble, which is expected to be the equilibrium point of typical dynamics. Expand
The first law of general quantum resource theories
TLDR
A set of laws for general quantum resource theories, which generalise the laws of thermodynamics are derived, which first test on thermodynamics with multiple conservation laws, and then apply to the theory of local operations under energetic restrictions. Expand
Quantum majorization and a complete set of entropic conditions for quantum thermodynamics
TLDR
A quantum-mechanical generalization of majorization is used to derive a complete set of necessary and sufficient conditions for thermal transformations of quantum states, based on natural physical principles, namely, energy conservation, the existence of equilibrium states, and the requirement that quantum coherence be accounted for thermodynamics. Expand
Reference frames, superselection rules, and quantum information
Recently, there has been much interest in a new kind of 'unspeakable' quantum information that stands to regular quantum information in the same way that a direction in space or a moment in timeExpand
Beyond heat baths II: framework for generalized thermodynamic resource theories
Thermodynamics, which describes vast systems, has been reconciled with small scales, relevant to single-molecule experiments, in resource theories. Resource theories have been used to model exchangesExpand
Beyond heat baths: Generalized resource theories for small-scale thermodynamics.
Thermodynamics has recently been extended to small scales with resource theories that model heat exchanges. Real physical systems exchange diverse quantities: heat, particles, angular momentum, etc.Expand
Thermodynamic resource theories, non-commutativity and maximum entropy principles
We discuss some features of thermodynamics in the presence of multiple conserved quantities. We prove a generalisation of Landauer principle illustrating tradeoffs between the erasure costs paid inExpand
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