Results 11 to 20 of about 19,813 (127)
State convertibility in the von Neumann algebra framework
We establish a generalisation of the fundamental state convertibility theorem in quantum information to the context of bipartite quantum systems modelled by commuting semi-finite von Neumann algebras. Namely, we establish a generalisation to this setting
Crann, Jason +3 more
core +1 more source
Relative double commutants in coronas of separable C*-algebras
We prove a double commutant theorem for separable subalgebras of a wide class of corona C*-algebras, largely resolving a problem posed by Pedersen. Double commutant theorems originated with von Neumann, whose seminal result evolved into an entire field ...
Kucerovsky, Dan, Mathieu, Martin
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We provide an Operator Algebraic approach to N=2 chiral Conformal Field Theory and set up the Noncommutative Geometric framework. Compared to the N=1 case, the structure here is much richer. There are naturally associated nets of spectral triples and the
Carpi, Sebastiano +4 more
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Different Types of Conditional Expectation and the Lueders - von Neumann Quantum Measurement
In operator algebra theory, a conditional expectation is usually assumed to be a projection map onto a sub-algebra. In the paper, a further type of conditional expectation and an extension of the Lueders - von Neumann measurement to observables with ...
G. K. Pedersen +13 more
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Reichenbach's Common Cause Principle in Algebraic Quantum Field Theory with Locally Finite Degrees of Freedom [PDF]
In the paper it will be shown that Reichenbach's Weak Common Cause Principle is not valid in algebraic quantum field theory with locally finite degrees of freedom in general.
B.C. Fraassen Van +21 more
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Crossed products, conditional expectations and constraint quantization
Recent work has highlighted the importance of crossed products in correctly elucidating the operator algebraic approach to quantum field theories. In the gravitational context, the crossed product simultaneously promotes von Neumann algebras associated ...
Marc S. Klinger, Robert G. Leigh
doaj +1 more source
Q-systems describe "extensions" of an infinite von Neumann factor $N$, i.e., finite-index unital inclusions of $N$ into another von Neumann algebra $M$. They are (special cases of) Frobenius algebras in the C* tensor category of endomorphisms of $N$.
Bischoff, Marcel +3 more
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
ABSTRACT Multi‐supported non‐structural components (NSCs) are prone to seismic damage, yet their response prediction remains challenging when support motions are spatially incoherent. This study proposes an enhanced quasi‐static condensation (EQSC) method for linear, lightweight, dynamically detuned multi‐supported NSCs under the neglect of primary ...
Duozhi Wang +5 more
wiley +1 more source
Unsharp Values, Domains and Topoi [PDF]
The so-called topos approach provides a radical reformulation of quantum theory. Structurally, quantum theory in the topos formulation is very similar to classical physics.
Barbosa, Rui Soares, Doering, Andreas
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