Toposes and categories in quantum theory and gravity
... Unified description of classical gauge theories and general relativity and the corresponding space-time quantization leads to some generalization of physical ideas and corresponding mathematical structures. In physics, it is the sudden changes in viewpoint that go on to inspire progress shifting usu ...
... Unified description of classical gauge theories and general relativity and the corresponding space-time quantization leads to some generalization of physical ideas and corresponding mathematical structures. In physics, it is the sudden changes in viewpoint that go on to inspire progress shifting usu ...
Qubits and Quantum Measurement
... slit. What happens when both slits are open? Our intuition would strongly suggest that the probability we detect the photon at x should simply be the sum of the probability of detecting it at x if only slit 1 were open and the probability if only slit 2 were open. In other words the outcome should n ...
... slit. What happens when both slits are open? Our intuition would strongly suggest that the probability we detect the photon at x should simply be the sum of the probability of detecting it at x if only slit 1 were open and the probability if only slit 2 were open. In other words the outcome should n ...
Braid Topologies for Quantum Computation
... dense in the space of all such block diagonal operations [2, 14], and the Solovay-Kitaev theorem again guarantees one can in principle construct braids to approximate any desired operation of this form [22]. However, unlike the single qubit case, actual implementation of this procedure is problemati ...
... dense in the space of all such block diagonal operations [2, 14], and the Solovay-Kitaev theorem again guarantees one can in principle construct braids to approximate any desired operation of this form [22]. However, unlike the single qubit case, actual implementation of this procedure is problemati ...
The role of Chern Simons theory in solving the fractional quantum
... • It gives a new physical understanding. The 1/3 state is seen as one filled quasi-Landau level of composite fermions carrying two vortices. • It clarifies that this state belongs to a more general structure with an immense amount of other physics in it. • It also takes us beyond wave functions! The ...
... • It gives a new physical understanding. The 1/3 state is seen as one filled quasi-Landau level of composite fermions carrying two vortices. • It clarifies that this state belongs to a more general structure with an immense amount of other physics in it. • It also takes us beyond wave functions! The ...
Ultimate Intelligence Part I: Physical Completeness and Objectivity
... physical law. First, we argue that its completeness is compatible with contemporary physical theory, for which we give arguments from modern physics that show Solomonoff induction to converge for all possible physical prediction problems. Second, we define a physical message complexity measure based ...
... physical law. First, we argue that its completeness is compatible with contemporary physical theory, for which we give arguments from modern physics that show Solomonoff induction to converge for all possible physical prediction problems. Second, we define a physical message complexity measure based ...
Quantum Channels, Kraus Operators, POVMs
... ⋆ A rather common model of a quantum channel as used in quantum information theory can be represented schematically by Fig. 1, where a is the input to the channel, b is the channel output, e is thought of as the environment which is initially in the state |êi, and f is again the environment at the ...
... ⋆ A rather common model of a quantum channel as used in quantum information theory can be represented schematically by Fig. 1, where a is the input to the channel, b is the channel output, e is thought of as the environment which is initially in the state |êi, and f is again the environment at the ...
