Deriving quantum theory from its local structure and reversibility.

  title={Deriving quantum theory from its local structure and reversibility.},
  author={Gonzalo de la Torre and Lluis Masanes and Anthony J. Short and Markus P. M{\"u}ller},
  journal={Physical review letters},
  volume={109 9},
We investigate the class of physical theories with the same local structure as quantum theory but potentially different global structure. It has previously been shown that any bipartite correlations generated by such a theory can be simulated in quantum theory but that this does not hold for tripartite correlations. Here we explore whether imposing an additional constraint on this space of theories-that of dynamical reversibility-will allow us to recover the global quantum structure. In the… 
Entangling dynamics beyond quantum theory
We explore the existence of entangling dynamics in a large family of theories which contains quantum theory as a special case. We classify all continuouslyreversible and locally-tomographic theories
Generalized probability theories: what determines the structure of quantum theory?
It turns out that non-classical features of single systems can equivalently result from higher-dimensional classical theories that have been restricted, and entanglement and non-locality are shown to be genuine non- classical features.
Entanglement and the three-dimensionality of the Bloch ball
We consider a very natural generalization of quantum theory by letting the dimension of the Bloch ball be not necessarily three. We analyze bipartite state spaces where each of the components has a
Local Tomography and the Jordan Structure of Quantum Theory
Using a result of H. Hanche-Olsen, we show that (subject to fairly natural constraints on what constitutes a system, and on what constitutes a composite system), orthodox finite-dimensional complex
Quantum computation is an island in theoryspace
The computational efficiency of quantum mechanics can be defined in terms of the qubit circuit model, which is characterized by a few simple properties: each computational gate is a reversible
Local Quantum Measurement Demands Type-Sensitive Information Principles for Global Correlations
Physical theories with local structure similar to quantum theory can allow beyond-quantum global states that are in agreement with unentangled Gleason’s theorem. In a standard Bell experiment any
Quantum Theory from Rules on Information Acquisition
A recent reconstruction of the quantum theory of qubits from rules constraining an observer’s acquisition of information about physical systems explains entanglement, monogamy and non-locality compellingly from limited accessible information and complementarity.
Local tomography and the role of the complex numbers in quantum mechanics
  • G. Niestegge
  • Mathematics
    Proceedings of the Royal Society A
  • 2020
Various reconstructions of finite-dimensional quantum mechanics result in a formally real Jordan algebra A and a last step remains to conclude that A is the self-adjoint part of a C*-algebra. Using a
Reversibility and the structure of the local state space
The richness of quantum theory's reversible dynamics is one of its unique operational characteristics, with recent results suggesting deep links between the theory's reversible dynamics, its local


Quantum Theory and Beyond: Is Entanglement Special?
Quantum theory makes the most accurate empirical predictions and yet it lacks simple, comprehensible physical principles from which the theory can be uniquely derived. A broad class of probabilistic
Quantum Theory From Five Reasonable Axioms
The usual formulation of quantum theory is based on rather obscure axioms (employing complex Hilbert spaces, Hermitean operators, and the trace formula for calculating probabilities). In this paper
  • Rev. Lett. 104, 080402
  • 2010
Phys. Rev. A
  • Phys. Rev. A
  • 2007
Phys. Rev. Lett
  • Phys. Rev. Lett
  • 2010
New J. Phys
  • New J. Phys
  • 2011
Phys. Lett. A
  • Phys. Lett. A
  • 1996
  • Lett. A 223, 1
  • 1996
  • M. D’Ariano and P. Perinotti, Phys. Rev. A 84, 012311
  • 2011
  • Rev. Lett. 104, 140401
  • 2010