1. Introduction - Université de Rennes 1
... is very simple and the chemical potential, given by A(x) = − log n(x) + 32 log(2π), depends on n(x) in a local way. Here, due to the operator formalism of quantum mechanics, which is not commutative, the density and the associated chemical potential are linked together by a non-explicit formula, and ...
... is very simple and the chemical potential, given by A(x) = − log n(x) + 32 log(2π), depends on n(x) in a local way. Here, due to the operator formalism of quantum mechanics, which is not commutative, the density and the associated chemical potential are linked together by a non-explicit formula, and ...
Wormholes in Spacetime and the Constants of Nature
... first stage, we integrate out the wormhole fluctuations to obtain an effective theory with a-dependent bare couplings; this effective theory is cut off at the wormhole mass scale M w. In the second stage, we allow the cutoff to "float" down from M w into the far infrared; we thus obtain an expressio ...
... first stage, we integrate out the wormhole fluctuations to obtain an effective theory with a-dependent bare couplings; this effective theory is cut off at the wormhole mass scale M w. In the second stage, we allow the cutoff to "float" down from M w into the far infrared; we thus obtain an expressio ...
Towards the mathematics of quantum field theory
... space C, with parameter space M . The notion of space must be taken here in a widely generalized sense, because even electrons have a mathematical formalization as functions between spaces of a non-classical kind, i.e., not modeled on subsets of the real affine space Rn . One may then base classical ...
... space C, with parameter space M . The notion of space must be taken here in a widely generalized sense, because even electrons have a mathematical formalization as functions between spaces of a non-classical kind, i.e., not modeled on subsets of the real affine space Rn . One may then base classical ...
Overview Andrew Jaramillo Research Statement
... find a “quantum Dixmier map” at least for quantum Borel and nilpotent subalgebras in Uq (sln+1 )? Specifically, is there a map from some parameter space to the primitive spectrum of Uq (b± ) or Uq (n± )? If so, is it surjective? Moreover, can we quotient out by some action to have a continuous bijec ...
... find a “quantum Dixmier map” at least for quantum Borel and nilpotent subalgebras in Uq (sln+1 )? Specifically, is there a map from some parameter space to the primitive spectrum of Uq (b± ) or Uq (n± )? If so, is it surjective? Moreover, can we quotient out by some action to have a continuous bijec ...
pdf - VUB
... Nor does the theory theory or essence approach get us closer to solving the conjunction problem. As Hampton (1997) points out, it is not clear how a set of syntactic rules for combining or interpreting combinations of mini-theories could be formulated. 2.3. `Emergence’ and loss of properties during ...
... Nor does the theory theory or essence approach get us closer to solving the conjunction problem. As Hampton (1997) points out, it is not clear how a set of syntactic rules for combining or interpreting combinations of mini-theories could be formulated. 2.3. `Emergence’ and loss of properties during ...
Probabilistic instantaneous quantum computation
... qubits 1 and 2. In (1/4) n cases the whole state of qubits 3 is projected onto the state resulting from the correct input and she does not have to perform any additional transformation on qubits 3. In the remaining 1⫺(1/4) n cases, the result of the engineer’s Bell-state analysis will not be the rig ...
... qubits 1 and 2. In (1/4) n cases the whole state of qubits 3 is projected onto the state resulting from the correct input and she does not have to perform any additional transformation on qubits 3. In the remaining 1⫺(1/4) n cases, the result of the engineer’s Bell-state analysis will not be the rig ...
The breakdown of the topological classification Z for gapped phases
... The ν boundary modes that are coupled with a suitably chosen subset of dynamical Dirac masses are integrated over. The resulting dynamical theory on the (d − 1)-dimensional boundary is a bosonic one, a quantum nonlinear sigma model (QNLSM) in [(d − 1) + 1] space and time, ...
... The ν boundary modes that are coupled with a suitably chosen subset of dynamical Dirac masses are integrated over. The resulting dynamical theory on the (d − 1)-dimensional boundary is a bosonic one, a quantum nonlinear sigma model (QNLSM) in [(d − 1) + 1] space and time, ...
- Purdue e-Pubs
... Quantum computation promises to solve fundamental, yet otherwise intractable, problems in many different fields. To advance the quantum computing field, finding circuit designs to execute algorithms on quantum computers (in the circuit model of quantum computing) is important. Therefore, it is of fu ...
... Quantum computation promises to solve fundamental, yet otherwise intractable, problems in many different fields. To advance the quantum computing field, finding circuit designs to execute algorithms on quantum computers (in the circuit model of quantum computing) is important. Therefore, it is of fu ...
Lecture 18 — October 26, 2015 1 Overview 2 Quantum Entropy
... amount of information and correlations that are present in quantum systems. The first fundamental measure that we introduce is the von Neumann entropy. It is the quantum generalization of the Shannon entropy, but it captures both classical and quantum uncertainty in a quantum state. The von Neumann ...
... amount of information and correlations that are present in quantum systems. The first fundamental measure that we introduce is the von Neumann entropy. It is the quantum generalization of the Shannon entropy, but it captures both classical and quantum uncertainty in a quantum state. The von Neumann ...
... where pi are probabilities for the occurrence of the product state “i”. Density matrices which cannot be written in either form are said to be entangled. It is not a simple matter to establish a general representation of entangled states, and for this reason it is important to have relatively simple ...
Quantum Lambda Calculus - Department of Mathematics and
... interact with a function-as-data by applying it to an argument, but not, for instance, by examining its code. We give some examples illustrating how some common phenomena in quantum computation can be interpreted in terms of higher-order functions. In these examples, we will informally use some conc ...
... interact with a function-as-data by applying it to an argument, but not, for instance, by examining its code. We give some examples illustrating how some common phenomena in quantum computation can be interpreted in terms of higher-order functions. In these examples, we will informally use some conc ...
A categorification of a quantum Frobenius map
... (p-DG) algebras that will be used later. Then, we define the notion of a “slash-zero formal” p-DG algebra, which is analogous to the definition of formality for the usual differential graded algebras. As in the ordinary DG case, slash-zero formality allows one to compute algebraic invariants of a pD ...
... (p-DG) algebras that will be used later. Then, we define the notion of a “slash-zero formal” p-DG algebra, which is analogous to the definition of formality for the usual differential graded algebras. As in the ordinary DG case, slash-zero formality allows one to compute algebraic invariants of a pD ...
SEGUNDO WORKSHOP INFORMACIÌN CUÊNTICA EN ESPAÑA
... are for example needed for the implementation of ultra-long distance quantum communication using quantum repeater architectures [2]. An important capability for quantum memories is the ability to store multiple qubits at the same time and retrieve them selectively. Laser cooled atomic gases are curr ...
... are for example needed for the implementation of ultra-long distance quantum communication using quantum repeater architectures [2]. An important capability for quantum memories is the ability to store multiple qubits at the same time and retrieve them selectively. Laser cooled atomic gases are curr ...
A quantum logical and geometrical approach to the study of
... magnitude M is represented by an operator M acting over the state space. For bounded selfadjoint operators, conditions for the existence of the spectral decomposition M = 兺iai Pi = 兺iai兩ai典具ai兩 are satisfied 共along this work we will restrict the study to the finite dimensional case兲. The real number ...
... magnitude M is represented by an operator M acting over the state space. For bounded selfadjoint operators, conditions for the existence of the spectral decomposition M = 兺iai Pi = 兺iai兩ai典具ai兩 are satisfied 共along this work we will restrict the study to the finite dimensional case兲. The real number ...
Paper - MaPhySto
... generating map of an instrument as the way for the description of an indirect measurement process and not on quantum stochastic calculus as a tool of consideration but on the methods of quantum theory and the Schr odinger equation. Our approach is valid for a broad class of quantum measurement mod ...
... generating map of an instrument as the way for the description of an indirect measurement process and not on quantum stochastic calculus as a tool of consideration but on the methods of quantum theory and the Schr odinger equation. Our approach is valid for a broad class of quantum measurement mod ...