A Hilbert-module-based framework for classical and quantum reference frames that constructs relational observables via the KSGNS construction and equivariant correspondences.
Operational Quantum Reference Frame Transformations
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Quantum reference frames and relational quantum fields are formulated over continuous groupoids, so they apply to generic curved spacetimes and gauge theories where global symmetry groups are absent.
The Third-Particle Paradox is not a contradiction: the authors characterize exactly which states allow consistent subsystem discarding in the perspective-neutral and quantum-information approaches.
A framework built on two principles defines the perspective of non-ideal quantum reference frames, predicting superselection of the observed system and back-reaction from successive operations.
A relational quantum field theory for scalars is built from Poincaré-covariant quantum reference frames, yielding local observables and fields that satisfy causality and reproduce key Wightman and Algebraic QFT properties.
In the Castro-Ruiz-Oreshkov QRF formalism, composition of perspectives is consistent only if extra-particle degrees of freedom are retained, and tensor-product appending is allowed only for a characterized set of states.
Lattice QED is established as a quantum error-correcting code beyond stabilizers, with explicit recovery operations constructed via quantum reference frames for gauge and fermionic sectors.
citing papers explorer
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A groupoidal approach to quantum reference frames
Quantum reference frames and relational quantum fields are formulated over continuous groupoids, so they apply to generic curved spacetimes and gauge theories where global symmetry groups are absent.
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Frame-Dependent Traces and the Third-Particle Paradox
The Third-Particle Paradox is not a contradiction: the authors characterize exactly which states allow consistent subsystem discarding in the perspective-neutral and quantum-information approaches.
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The Perspectives of Non-Ideal Quantum Reference Frames
A framework built on two principles defines the perspective of non-ideal quantum reference frames, predicting superselection of the observed system and back-reaction from successive operations.
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Foundations of Relational Quantum Field Theory I: Scalars
A relational quantum field theory for scalars is built from Poincaré-covariant quantum reference frames, yielding local observables and fields that satisfy causality and reproduce key Wightman and Algebraic QFT properties.
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Compositionality in quantum reference frame perspectives
In the Castro-Ruiz-Oreshkov QRF formalism, composition of perspectives is consistent only if extra-particle degrees of freedom are retained, and tensor-product appending is allowed only for a characterized set of states.
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Error Correction in Lattice Quantum Electrodynamics with Quantum Reference Frames
Lattice QED is established as a quantum error-correcting code beyond stabilizers, with explicit recovery operations constructed via quantum reference frames for gauge and fermionic sectors.