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The cost of remembering
In 1961, Rolf Landauer pointed out that resetting a binary memory requires a minimum energy of \(k_BT ln(2)\). However, once written, any memory is doomed to loose its content if no action is taken.Expand
High-Capacity Quantum Associative Memories
TLDR
We review our models of quantum associative memories that represent the “quantization” of fully coupled neural networks like the Hopfield model. Expand
Confining strings with topological term
Abstract We consider several aspects of ‘confining strings’, recently proposed to describe the confining phase of gauge field theories. We perform the exact duality transformation that leads to theExpand
On pure lattice Chern-Simons gauge theories
Abstract We revisit the lattice formulation of the Abelian Chern–Simons model defined on an infinite Euclidean lattice. We point out that any gauge invariant, local and parity odd Abelian quadraticExpand
Superconductors with topological order
Abstract.We propose a mechanism of superconductivity in which the order of the ground state does not arise from the usual Landau mechanism of spontaneous symmetry breaking but is rather ofExpand
Gauge theories of Josephson junction arrays
Abstract We show that the zero-temperature physics of planar Josephson junction arrays in the self-dual approximation is governed by an Abelian gauge theory with a periodic mixed Chern-Simons termExpand
SU(N) ANTIFERROMAGNETS AND THE PHASE STRUCTURE OF QED IN THE STRONG COUPLING LIMIT
Abstract We examine the strong coupling limit of both compact and non-compact quantum electro-dynamics (QED) on a lattice with staggered fermions. We show that every SU (NL) quantum antiferromagnetExpand
Quantum Associative Pattern Retrieval
TLDR
We show that qubit networks with long-range interactions governed by the Hebb rule can be used as quantum associative memories, after which a phase transition to a quantum spin glass state implies total amnesia. Expand
Conditional entropy and Landauer principle
The Landauer principle describes the minimum heat produced by an information-processing device. Recently a new term has been included in the minimum heat production: it is called conditional entropyExpand
Quantum Pattern Retrieval by Qubit Networks with Hebb Interactions
TLDR
Qubit networks with long-range interactions inspired by the Hebb rule can be used as quantum associative memories at a memory density alpha=p/n=1. Expand
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