Private Quantum Channels
... infinitely precise complex numbers. Nevertheless, the question has a positive answer. More precisely, to send privately n qubits, a 2n-bit classical key is sufficient. The encryption technique is fairly natural. Alice applies to the state she wants to transmit a reversible quantum operation specif ...
... infinitely precise complex numbers. Nevertheless, the question has a positive answer. More precisely, to send privately n qubits, a 2n-bit classical key is sufficient. The encryption technique is fairly natural. Alice applies to the state she wants to transmit a reversible quantum operation specif ...
Erasable and Unerasable Correlations
... about cloning and state estimation. We know that quantum information cannot be copied or broadcast exactly, due to the no-cloning theorem. Nevertheless, one can find approximate optimal cloning operations which increase the number of copies of a state at the expense of the quality. In the presence o ...
... about cloning and state estimation. We know that quantum information cannot be copied or broadcast exactly, due to the no-cloning theorem. Nevertheless, one can find approximate optimal cloning operations which increase the number of copies of a state at the expense of the quality. In the presence o ...
Art Hobson There are no particles, there are only fields 1
... and now, and received there and later, then where is it in the meantime? Clearly, it's in the field.27 Faraday and Maxwell created one of history's most telling changes in our physical worldview: the change from particles to fields. As Albert Einstein put it, “Before Maxwell, Physical Reality …was t ...
... and now, and received there and later, then where is it in the meantime? Clearly, it's in the field.27 Faraday and Maxwell created one of history's most telling changes in our physical worldview: the change from particles to fields. As Albert Einstein put it, “Before Maxwell, Physical Reality …was t ...
The quantum system - Università degli Studi dell`Insubria
... which form the vector operator p$ p$x , p$y . Both components of the linear momentum operator commute with the Hamiltonian [ H$, p$x ] [ H$, p$y ] 0 and then we find again that the linear momentum is a constant of motion. This mathematical result has again a deep physical significance: the lin ...
... which form the vector operator p$ p$x , p$y . Both components of the linear momentum operator commute with the Hamiltonian [ H$, p$x ] [ H$, p$y ] 0 and then we find again that the linear momentum is a constant of motion. This mathematical result has again a deep physical significance: the lin ...
Chern-Simons theory and Weyl quantization
... freely in the phase space R2. According to W. Heisenberg we pass from classical to quantum mechanics by replacing • phase space 7! Hilbert space • functions on the phase space 7! linear operators on the Hilbert space Hamilton’s equation turns into Schroedinger’s equation. ...
... freely in the phase space R2. According to W. Heisenberg we pass from classical to quantum mechanics by replacing • phase space 7! Hilbert space • functions on the phase space 7! linear operators on the Hilbert space Hamilton’s equation turns into Schroedinger’s equation. ...
Singularity of the time-energy uncertainty in adiabatic perturbation
... Perturbation theory1,2 is widely used in many fields of science and engineering as an effective method to find an approximate solution to a given problem, expressed in terms of a power series in a small parameter. In regular perturbation calculations, one only keeps the first few terms of the expans ...
... Perturbation theory1,2 is widely used in many fields of science and engineering as an effective method to find an approximate solution to a given problem, expressed in terms of a power series in a small parameter. In regular perturbation calculations, one only keeps the first few terms of the expans ...
Theoretical Chemistry I Quantum Mechanics
... of the curves corresponds to a solution. Since κ/q diverges for qa → 0, there is at least one crossing point with tan qa. The lowest energy state is always even. When λ increases by π/2, there is another crossing point and hence one additional state. Hence the total number of states is given by ...
... of the curves corresponds to a solution. Since κ/q diverges for qa → 0, there is at least one crossing point with tan qa. The lowest energy state is always even. When λ increases by π/2, there is another crossing point and hence one additional state. Hence the total number of states is given by ...
A quantum computing primer for operator theorists
... mechanics for the associated standard orthonormal basis for H2n = (C2 )⊗n C2 . For instance, the basis for H4 is given by {|ij : i, j ∈ Z2 }, where |ij is the vector tensor product |ij ≡ |i|j ≡ |i ⊗ |j . A quantum bit of information, or a ‘qubit’, is given by a unit vector |ψ = a|0 + ...
... mechanics for the associated standard orthonormal basis for H2n = (C2 )⊗n C2 . For instance, the basis for H4 is given by {|ij : i, j ∈ Z2 }, where |ij is the vector tensor product |ij ≡ |i|j ≡ |i ⊗ |j . A quantum bit of information, or a ‘qubit’, is given by a unit vector |ψ = a|0 + ...
Could light harvesting complexes exhibit non
... bacteria (Fenna & Matthews 1975; Leegwater 1996; Chachisvilis et al. 1997; Amerongen et al. 2000; Renger et al. 2001; Adolphs & Renger 2006; Engel et al. 2007; Lee et al. 2007; Gilmore & McKenzie 2008; Mohseni et al. 2008; Olaya-Castro et al. 2008; Plenio & Huelga 2008; Caruso et al. 2009; Cheng & F ...
... bacteria (Fenna & Matthews 1975; Leegwater 1996; Chachisvilis et al. 1997; Amerongen et al. 2000; Renger et al. 2001; Adolphs & Renger 2006; Engel et al. 2007; Lee et al. 2007; Gilmore & McKenzie 2008; Mohseni et al. 2008; Olaya-Castro et al. 2008; Plenio & Huelga 2008; Caruso et al. 2009; Cheng & F ...
The pseudodifferential operator square root of the Klein
... parametric for a differential operator, that is, an inverse of the differential operator up to C” functions. For applications in physics and treating the subject by an intrinsic calculus see Fulling and Kennedy.’ In addition, PseudodifFerential operators can also be used to formulate generalizations ...
... parametric for a differential operator, that is, an inverse of the differential operator up to C” functions. For applications in physics and treating the subject by an intrinsic calculus see Fulling and Kennedy.’ In addition, PseudodifFerential operators can also be used to formulate generalizations ...
Deterministic Controlled-NOT Gate For Single-Photon Two
... function [10]. The input polarizing beam splitter (PBS2) directs horizontally (vertically) polarized input light to travel in a clockwise (counterclockwise) direction. As viewed by each beam, the dove prism orientation is different for the two counter-propagating beams such that the transformation o ...
... function [10]. The input polarizing beam splitter (PBS2) directs horizontally (vertically) polarized input light to travel in a clockwise (counterclockwise) direction. As viewed by each beam, the dove prism orientation is different for the two counter-propagating beams such that the transformation o ...
Inconsistencies of the Adiabatic Theorem and the Berry Phase
... strict adiabatic approximation cyclic as well as non-cyclic Berry phase almost vanish! We suggest that while dealing with adiabatically changing Hamiltonians one should not be within the strict regime nor one should be too much away from adiabatic regime. One has to optimize the operational scale so ...
... strict adiabatic approximation cyclic as well as non-cyclic Berry phase almost vanish! We suggest that while dealing with adiabatically changing Hamiltonians one should not be within the strict regime nor one should be too much away from adiabatic regime. One has to optimize the operational scale so ...