Weyl--Heisenberg Representations in Communication Theory
... Decompositions of signals, functions or states with additional structural properties are of general importance in mathematics, physics and engineering. Representing a function as a linear combination of some building sets of functions can significantly simplify several problem constellations and is ...
... Decompositions of signals, functions or states with additional structural properties are of general importance in mathematics, physics and engineering. Representing a function as a linear combination of some building sets of functions can significantly simplify several problem constellations and is ...
Topological Casimir effect in nanotubes and nanoloops
... Feature that the VEV of the current density is finite on the brane could be argued on the base of general arguments In quantum field theory the ultraviolet divergences in the VEVs of physical observables bilinear in the field are determined by the local geometrical characteristics of the bulk and bo ...
... Feature that the VEV of the current density is finite on the brane could be argued on the base of general arguments In quantum field theory the ultraviolet divergences in the VEVs of physical observables bilinear in the field are determined by the local geometrical characteristics of the bulk and bo ...
ON THE GENERAL FORM OF QUANTUM STOCHASTIC
... The quantum …ltering theory, which was outlined in [1, 2] and developed then since [3], provides the derivations for new types of irreversible stochastic equations for quantum states, giving the dynamical solution for the well-known quantum measurement problem. Some particular types of such equation ...
... The quantum …ltering theory, which was outlined in [1, 2] and developed then since [3], provides the derivations for new types of irreversible stochastic equations for quantum states, giving the dynamical solution for the well-known quantum measurement problem. Some particular types of such equation ...
Chapter 11 Observables and Measurements in Quantum Mechanics
... require three components: the system, typically a microscopic system, whose properties are to be measured, the measuring apparatus itself, which interacts with the system under observation, and the environment surQuantum rounding the apparatus whose presence supSystem S plies the decoherence needed ...
... require three components: the system, typically a microscopic system, whose properties are to be measured, the measuring apparatus itself, which interacts with the system under observation, and the environment surQuantum rounding the apparatus whose presence supSystem S plies the decoherence needed ...
Entangled Simultaneous Measurement and Elementary Particle Representations
... the desired system expectation values. The theory of entangled simultaneous quantum measurement was extended to non-relativistic spin by coupling to spin-1/2 meters by Levine and Tucci [12]. In this case measurements project the system to Bloch states corresponding to the measured spin components. ...
... the desired system expectation values. The theory of entangled simultaneous quantum measurement was extended to non-relativistic spin by coupling to spin-1/2 meters by Levine and Tucci [12]. In this case measurements project the system to Bloch states corresponding to the measured spin components. ...
A Note on the Switching Adiabatic Theorem
... consider dependence on the gap g. In 1991 Joye and Pfister [13] obtained an estimate on the exponential decay rate for the 2 × 2 matrix case. Three years later Martinez [17] realized that the adiabatic transition probability could be considered as a tunneling effect in energy space. He used microloc ...
... consider dependence on the gap g. In 1991 Joye and Pfister [13] obtained an estimate on the exponential decay rate for the 2 × 2 matrix case. Three years later Martinez [17] realized that the adiabatic transition probability could be considered as a tunneling effect in energy space. He used microloc ...
Computation in a Topological Quantum Field Theory
... The Rank Finiteness Theorem suggests the feasability of a classification of UMTCs by rank. The process of classification can be understood from the axiomatic specification of a UMTC: each axiom imposes a polynomial constraint with Z-coefficients, equating the classification of UMTCs with counting p ...
... The Rank Finiteness Theorem suggests the feasability of a classification of UMTCs by rank. The process of classification can be understood from the axiomatic specification of a UMTC: each axiom imposes a polynomial constraint with Z-coefficients, equating the classification of UMTCs with counting p ...
CHARACTERIZATION OF THE SEQUENTIAL PRODUCT ON
... As this is valid for all ρ we conclude that if AB = BA then (A ◦ B)◦C = A ◦ (B ◦ C). In fact, we shall only require a special case of this relation, together with the observation that A2 = A ◦ A. We thus state: Condition 3. (Weak associativity) A sequential product ◦ needs to satisfy the relation: A ...
... As this is valid for all ρ we conclude that if AB = BA then (A ◦ B)◦C = A ◦ (B ◦ C). In fact, we shall only require a special case of this relation, together with the observation that A2 = A ◦ A. We thus state: Condition 3. (Weak associativity) A sequential product ◦ needs to satisfy the relation: A ...
Questions from past exam papers. 1. (a) (8 marks) The Hamiltonian
... two observables  and B̂ (i) commuting, (ii) not commuting. Your answer should include comments concerning the link between the commutation relation between two observables and the uncertainty principle. (b) (8 marks) The space displacement operator D̂(a) is defined such that D̂(a)|xi = |x + ai, an ...
... two observables  and B̂ (i) commuting, (ii) not commuting. Your answer should include comments concerning the link between the commutation relation between two observables and the uncertainty principle. (b) (8 marks) The space displacement operator D̂(a) is defined such that D̂(a)|xi = |x + ai, an ...
Spontaneously Broken Symmetries
... Proof: !0 is also T invariant, !0 T = !0 T = !0 and the latter ...
... Proof: !0 is also T invariant, !0 T = !0 T = !0 and the latter ...
M12/16
... the weak* topology. We then discuss useful properties of topographic quantum spaces, which lay the foundations for our notion of well-behaved sets of states. When put together, Lipschitz pairs and topographic quantum spaces form Lipschitz triples, which have the same signature as quantum locally com ...
... the weak* topology. We then discuss useful properties of topographic quantum spaces, which lay the foundations for our notion of well-behaved sets of states. When put together, Lipschitz pairs and topographic quantum spaces form Lipschitz triples, which have the same signature as quantum locally com ...
