Gravity at the Planck Length
... numbers of strings interacting weakly. However, we know from quantum eld theory that there are many important dynamical e ects that arise when we have large numbers of degrees of freedom and/or strong couplings. Some of these e ects, such as con nement, the Higgs mechanism, and dynamical symmetry b ...
... numbers of strings interacting weakly. However, we know from quantum eld theory that there are many important dynamical e ects that arise when we have large numbers of degrees of freedom and/or strong couplings. Some of these e ects, such as con nement, the Higgs mechanism, and dynamical symmetry b ...
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... We only use one specific quantum procedure as a black-box in otherwise classical algorithms. Hence we will not explain the model of quantum query algorithms in much detail (see [19, 10] for that). Suffice it to say that the function f is assumed to be accessible by the oracle unitary transformation ...
... We only use one specific quantum procedure as a black-box in otherwise classical algorithms. Hence we will not explain the model of quantum query algorithms in much detail (see [19, 10] for that). Suffice it to say that the function f is assumed to be accessible by the oracle unitary transformation ...
Quantum correlations
... The optimization is over all possible measurements Π In general, it is very difficult to identify the optimal measurement disturbs the systems - and correlations - the least; this makes a nontrivial technical issue in computing discord For pure state, entanglement and discord coincide For mixed stat ...
... The optimization is over all possible measurements Π In general, it is very difficult to identify the optimal measurement disturbs the systems - and correlations - the least; this makes a nontrivial technical issue in computing discord For pure state, entanglement and discord coincide For mixed stat ...
Document
... The proof of no-deleting theorem could be done using the lemma that used in stronger no cloning theorem. Both no-go theorems together establish permanence of quantum information. ...
... The proof of no-deleting theorem could be done using the lemma that used in stronger no cloning theorem. Both no-go theorems together establish permanence of quantum information. ...
Simple, accurate electrostatics-based formulas for calculating
... orbital (HOMO) in the neutral species and its lowest unoccupied molecular orbital (LUMO) [15–20], which also closely approximates the energy level in which the extra electron resides in the anion. This energy gap is present and should be of very nearly the same magnitude in an icosahedral fullerene ...
... orbital (HOMO) in the neutral species and its lowest unoccupied molecular orbital (LUMO) [15–20], which also closely approximates the energy level in which the extra electron resides in the anion. This energy gap is present and should be of very nearly the same magnitude in an icosahedral fullerene ...
Triple to quintuple quantum dots for making multiple qubits
... Decoherence of a central spin in solids is not only an ideal model problem for understanding the foundation of quantum physics but also a critical issue in quantum information technologies. Studying central spin decoherence caused by environmental fluctuations may yield key insights into the nature ...
... Decoherence of a central spin in solids is not only an ideal model problem for understanding the foundation of quantum physics but also a critical issue in quantum information technologies. Studying central spin decoherence caused by environmental fluctuations may yield key insights into the nature ...
On The Copenhagen Interpretation of Quantum Mechanics
... mechanics were mathematically equivalent. That is, they were just different mathematical ways of expressing the same underlying structure. Please do not ask me to explain here how a theory for a thing that waves can be equivalent to a theory based on infinite arrays of numbers. Mathematically it is ...
... mechanics were mathematically equivalent. That is, they were just different mathematical ways of expressing the same underlying structure. Please do not ask me to explain here how a theory for a thing that waves can be equivalent to a theory based on infinite arrays of numbers. Mathematically it is ...
THE MANY CLASSICAL FACES OF QUANTUM STRUCTURES 1
... space in classical mechanics can be any locally compact Hausdorff topological space X, (sharp) observables are continuous functions X → R, and evolution is given by homeomorphisms X → X. This leads to the C*-algebra C0 (X) of continuous complex-valued functions on X vanishing at infinity; for compac ...
... space in classical mechanics can be any locally compact Hausdorff topological space X, (sharp) observables are continuous functions X → R, and evolution is given by homeomorphisms X → X. This leads to the C*-algebra C0 (X) of continuous complex-valued functions on X vanishing at infinity; for compac ...
QFT on curved spacetimes: axiomatic framework and applications
... representations, and they have found recently some interest in loop quantum gravity. In quantum field theory the uniqueness results do not apply, and one has to deal with a huge class of inequivalent representations. For these reasons it is preferable to define the algebra of observables A independe ...
... representations, and they have found recently some interest in loop quantum gravity. In quantum field theory the uniqueness results do not apply, and one has to deal with a huge class of inequivalent representations. For these reasons it is preferable to define the algebra of observables A independe ...
Quantum Algorithms for Evaluating MIN
... note that, by incurring a multiplicative factor of only O(log log(N)), each call to the And-Or and search algorithm can be amplified so that its error probability is O(1/ log(N)). This results in an O(W (N) log(N) log log(N)) algorithm for Min-Max. These amplification costs are not necessary in our ...
... note that, by incurring a multiplicative factor of only O(log log(N)), each call to the And-Or and search algorithm can be amplified so that its error probability is O(1/ log(N)). This results in an O(W (N) log(N) log log(N)) algorithm for Min-Max. These amplification costs are not necessary in our ...
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... the dynamics of a light quantum particle or set of quantum degrees of freedom interacting with more massive particles.1–3 Specific examples include proton transfer,4 solvation dynamics of an excess electron,5 and nonradiative relaxation processes of molecules in a liquid-state environment.6 In these ...
... the dynamics of a light quantum particle or set of quantum degrees of freedom interacting with more massive particles.1–3 Specific examples include proton transfer,4 solvation dynamics of an excess electron,5 and nonradiative relaxation processes of molecules in a liquid-state environment.6 In these ...