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... The description offered by Φ1+2 contains maximal knowledge of both systems. However, W1 and W2 represent mixtures: somehow we seem to have lost knowledge. Schrödinger quickly realised that such “portion of the combined knowledge” was “squandered on conditional statements that operate between the sub ...
... The description offered by Φ1+2 contains maximal knowledge of both systems. However, W1 and W2 represent mixtures: somehow we seem to have lost knowledge. Schrödinger quickly realised that such “portion of the combined knowledge” was “squandered on conditional statements that operate between the sub ...
Quantum-assisted biomolecular modelling
... this portion of the force-field calculation is still costly. For a more detailed description of modelling methods applied to biomolecules, see Leach (2001). Given an experimentally derived structure of a drug/protein complex, atomistic simulation can provide a good estimate for the interaction energ ...
... this portion of the force-field calculation is still costly. For a more detailed description of modelling methods applied to biomolecules, see Leach (2001). Given an experimentally derived structure of a drug/protein complex, atomistic simulation can provide a good estimate for the interaction energ ...
Notes on the “Advanced Tools and Concepts” section of the full day
... It might be useful at this point to give a short outline of two ways in which density matrices might be used to construct quantum models of decision. Our motivating example was useful for setting the scene and explaining what density matrices are, but it is obviously unrealistic. What is true howeve ...
... It might be useful at this point to give a short outline of two ways in which density matrices might be used to construct quantum models of decision. Our motivating example was useful for setting the scene and explaining what density matrices are, but it is obviously unrealistic. What is true howeve ...
Limitations on quantum dimensionality reduction
... between states, and proofs going via the 2-norm usually do so only for calculational simplicity. However, here we argue that the 2-norm is of interest in its own right, by giving two operational interpretations of this distance measure. 3.1. Equality testing without a reference frame Consider the fo ...
... between states, and proofs going via the 2-norm usually do so only for calculational simplicity. However, here we argue that the 2-norm is of interest in its own right, by giving two operational interpretations of this distance measure. 3.1. Equality testing without a reference frame Consider the fo ...
Common notions from hep-th
... transformations (which parametrized by a vector). However, for the most part in these lectures, we will be considering a slightly more general application where the coordinate transformations are chosen to yield gab → g̃ab = λ2 (x) ĝab , where the new metric ĝab again describes some simply geometr ...
... transformations (which parametrized by a vector). However, for the most part in these lectures, we will be considering a slightly more general application where the coordinate transformations are chosen to yield gab → g̃ab = λ2 (x) ĝab , where the new metric ĝab again describes some simply geometr ...
Response Time Distributions in Partially-Coherent Quantum Walk Models for
... decision processes unfold over time, it is plausible to suggest that an evolutionary advantage would accrue to decisionmakers that can make effective use of quantum mechanical effects. Of course, many questions need to be answered before we can determine with any confidence whether or not this advan ...
... decision processes unfold over time, it is plausible to suggest that an evolutionary advantage would accrue to decisionmakers that can make effective use of quantum mechanical effects. Of course, many questions need to be answered before we can determine with any confidence whether or not this advan ...
24 Interferometry with Macromolecules: Quantum Paradigms Tested
... facto be unobservable due to the large number of degrees of freedom of the meter. Therefore, if the experiment measures the system alone and ignores the environment, the correct answer to any experimental question will be based on a reduced density matrix which has been traced over the meter states. ...
... facto be unobservable due to the large number of degrees of freedom of the meter. Therefore, if the experiment measures the system alone and ignores the environment, the correct answer to any experimental question will be based on a reduced density matrix which has been traced over the meter states. ...
Structural Explanations, or the Reasonable Effectiveness of
... phenomena it is about. Following the available literature, we will refer to such explanations as structural explanations. In order to illustrate our main claim, we will present two case studies, involving two of the most typical and puzzling quantum phenomena, namely Heisenberg’s Uncertainty Relatio ...
... phenomena it is about. Following the available literature, we will refer to such explanations as structural explanations. In order to illustrate our main claim, we will present two case studies, involving two of the most typical and puzzling quantum phenomena, namely Heisenberg’s Uncertainty Relatio ...
--Fundamental Problems and Application to Material Science-
... We choose here a typical autonomous system found in condensed matter physics. Let us consider the quantum mechanics of noninteracting electrons in a planar billiard (e.g., a thin conducting disk) in a uniform magnetic field normal to the plane.1l The shape of the boundary is taken as elliptic. Unles ...
... We choose here a typical autonomous system found in condensed matter physics. Let us consider the quantum mechanics of noninteracting electrons in a planar billiard (e.g., a thin conducting disk) in a uniform magnetic field normal to the plane.1l The shape of the boundary is taken as elliptic. Unles ...
Reply to" Comment on" Galilean invariance at quantum Hall edge""
... that in [1] we have incorrectly treated the velocity field v i as independent when deriving the consistent current as a variation of the action with respect to the gauge field (see Eq. (46) in [1]). In our construction, however, the velocity should not be considered independent, since it is a functi ...
... that in [1] we have incorrectly treated the velocity field v i as independent when deriving the consistent current as a variation of the action with respect to the gauge field (see Eq. (46) in [1]). In our construction, however, the velocity should not be considered independent, since it is a functi ...
Bohr Theory in the Atomic Physics
... At the beginning of 1900, Rutherford proposed the famous atomic nuclear-mode structure which was testified by the big angle α-particle scattering experiment, but this model was acutely conflicted with the classical electromagnetic theory. On the one hand, this conflict is represented by that accordi ...
... At the beginning of 1900, Rutherford proposed the famous atomic nuclear-mode structure which was testified by the big angle α-particle scattering experiment, but this model was acutely conflicted with the classical electromagnetic theory. On the one hand, this conflict is represented by that accordi ...
Quantum Wires and Quantum Point Contacts
... non-Ohmic system: the series resistance is much smaller than the sum of the individual QPC resistances One needs quantum mechanics to understand such behavior – after the first QPC the electron beam gets collimated, and then it is prepared to pass through the second QPC without backscattering. ...
... non-Ohmic system: the series resistance is much smaller than the sum of the individual QPC resistances One needs quantum mechanics to understand such behavior – after the first QPC the electron beam gets collimated, and then it is prepared to pass through the second QPC without backscattering. ...
Theoretical Errors in Contemporary Physics
... DA and DB denote the domains of validity of theories A and B, respectively. Now, if DA ⊂ DB and DA 6= DB then one finds that theory B takes a higher hierarchical rank than theory A (see [1], pp. 3-6). Here theory B is regarded as a theory having a more profound status. However, theory A is not “wron ...
... DA and DB denote the domains of validity of theories A and B, respectively. Now, if DA ⊂ DB and DA 6= DB then one finds that theory B takes a higher hierarchical rank than theory A (see [1], pp. 3-6). Here theory B is regarded as a theory having a more profound status. However, theory A is not “wron ...