Time symmetry in quantum theories and beyond

arXiv:2209.07867 · quant-ph · Submitted 2022-09-16 · Read on arXiv

quant-ph

Submitted: 2022-09-16

Updated: 2026-09-20

Terminology

• Trace — 26× in this paper · explained in 2 episodes
• Quantum Physics — 5× in this paper · explained in 10 episodes
• IEEE Symposium on Logic in Computer Science — 4× in this paper
• Consistency — 3× in this paper · explained in 3 episodes
• Hilbert Space — 3× in this paper · explained in 2 episodes
• Axioms — 2× in this paper · explained in 2 episodes
• Post-Selection — 2× in this paper · explained in 2 episodes
• Adaptation — 1× in this paper · explained in 1 episode
• Bayesian Inference — 1× in this paper · explained in 5 episodes
• Quantum Circuits — 1× in this paper · explained in 2 episodes
• Symmetry Breaking — 1× in this paper · explained in 3 episodes
• Unitary Dynamics — 1× in this paper · explained in 2 episodes

Sources

• A categorical semantics of quantum protocols
• Abstract Physical Traces
• Kindergarten Quantum Mechanics
• Terminality implies non-signalling
• Strong Complementarity and Non-locality in Categorical Quantum Mechanics
• Phase groups and the origin of non-locality for qubits
• Categorical Quantum Mechanics I: Causal Quantum Processes
• Causal categories: relativistically interacting processes
• The time-reverse of any causal theory is eternal noise
• Kindergarden quantum mechanics graduates (...or how I learned to stop gluing LEGO together and love the ZX-calculus)
• The arrow of time in operational formulations of quantum theory
• Fantastic Quantum Theories and Where to Find Them
• Fully graphical treatment of the quantum algorithm for the Hidden Subgroup Problem
• Fourier transforms from strongly complementary observables
• Quantum Theory From Five Reasonable Axioms
• Time Symmetry in Operational Theories
• Equivalence of relativistic causal structure and process terminality
• A local and operational framework for the foundations of physics
• Wiring diagrams as normal forms for computing in symmetric monoidal categories

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• Theory of quantum-enhanced interferometry with general Markovian light sources
• A convergent hierarchy of spectral gap certificates for qubit Hamiltonians
• Universal Bound and Phase Transition in Many-Body Fermionic Non-Gaussianity