Quantum theory: Concepts and methods

@article{Mermin1997QuantumTC,
  title={Quantum theory: Concepts and methods},
  author={N. David Mermin},
  journal={Studies in History and Philosophy of Modern Physics},
  year={1997},
  volume={28},
  pages={131-135}
}
  • N. Mermin
  • Published 1 March 1997
  • Philosophy
  • Studies in History and Philosophy of Modern Physics
Macroscopic quantum states: Measures, fragility, and implementations
Large-scale quantum effects have always played an important role in the foundations of quantum theory. With recent experimental progress and the aspiration for quantum enhanced applications, the
Analysis of Quantum Correlation in Successive Spin Measurements, Classical Communication of Spin S Singlet States and Quantum Nonlocality of two Qubit Entangled States.
In this thesis, we study about three subjects 1- Classical simulation of two spin-$s$ singlet correlations for all $s$ involving spin measurements, 2- Quantum correlations in successive single spin
Quantum Information Theory
In this thesis I present a short review of ideas in quantum information theory. The first chapter contains introductory material, sketching the central ideas of probability and information theory.
Quantum Compiler for Classical Dynamics
TLDR
The quantum compiler provides a consistent, exponentially scalable, stochastic simulator of the evolution of classical observables, realized through projective quantum measurement, and proves theoretical convergence results for these predictions in the large-qubit limit.
Modeling and mitigation of realistic readout noise with applications to the Quantum Approximate Optimization Algorithm
TLDR
This work introduces a correlated measurement noise model that can be efficiently described and characterized, and which admits effective noise-mitigation on the level of marginal probability distributions, and who finds that correlations in the measurement noise do not correspond to the physical layout of the device.
On the Significance of Information
TLDR
This dissertation proposes a system of information-theoretic axioms from which the formalism of quantum theory is derived, and shows how the twofold role of the observer leads to a description of measurement by POVM, an element essential in quantum computation.
Quantum-enhanced measurements without entanglement
Quantum-enhanced measurements exploit quantum mechanical effects for increasing the sensitivity of measurements of certain physical parameters and have great potential for both fundamental science
A No-Go Theorem for Observer-Independent Facts
TLDR
A no-go theorem for observer-independent facts, which would be common both for Wigner and the friend is derived and is analyzed in the context of a newly-derived theorem arXiv:1604.07422, where Frauchiger and Renner prove that “single-world interpretations of quantum theory cannot be self-consistent”.
Simulating Positive-Operator-Valued Measures with Projective Measurements.
TLDR
This work proves that every measurement on a given quantum system can be realized by classical randomization of projective measurements on the system plus an ancilla of the same dimension, and shows that deciding whether it is PM simulable can be solved by means of semidefinite programming.
QBism: Quantum Theory as a Hero's Handbook
This paper represents an elaboration of the lectures delivered by one of us (CAF) during "Course 197 -- Foundations of Quantum Physics" at the International School of Physics "Enrico Fermi" in
...
...