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Consistent Quantum Theory
1. Introduction 2. Wave functions 3. Linear algebra in Dirac notation 4. Physical properties 5. Probabilities and physical variables 6. Composite systems and tensor products 7. Unitary dynamics 8.
Quantum error correction
  • R. Griffiths
  • Physics
    Principles of Quantum Computation and Information
  • 1 December 2018
Some three-dimensional materials can exhibit exotic properties that only exist in "lower" dimensions. For example, in one-dimensional chains of atoms that emerge within a bulk sample, electrons can
Nonanalytic Behavior Above the Critical Point in a Random Ising Ferromagnet
It is shown that in a class of randomly diluted Ising ferromagnets the magnetization fails to be an analytic function of the field $H$ at $H=0$ for a range of temperatures above that at which
Concavity of Magnetization of an Ising Ferromagnet in a Positive External Field
An inequality for correlation functions in an Ising model with purely ferromagnetic interactions between pairs of spins is established and used to show that the magnetization in such a model is a
The (φ4)2 field theory as a classical Ising model
We approximate a (spatially cutoff) (φ4)2 Euclidean field theory by an ensemble of spin 1/2 Ising spins with ferromagnetic pair interactions. This approximation is used to prove a Lee-Yang theorem
Correlations in Ising Ferromagnets. I
An inequality relating binary correlation functions for an Ising model with purely ferromagnetic interactions is derived by elementary arguments and used to show that such a ferromagnet cannot
OPTIMAL EAVESDROPPING IN QUANTUM CRYPTOGRAPHY. I. INFORMATION BOUND AND OPTIMAL STRATEGY
TLDR
It is shown that both bounds can be attained simultaneously by an optimal eavesdropping probe, and an upper bound to the accessible information in one basis, for a given error rate in the conjugate basis is derived.
Peierls Proof of Spontaneous Magnetization in a Two-Dimensional Ising Ferromagnet
HE two-dimensional Ising ferromagnet —we here restrict discussion to the simple square latticehas been the subject of numerous theoretical investigations. ' The thermodynamic properties in the
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