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... at time t the three terms on the right side of Eq. 共2兲 commute, since they act on different Hilbert spaces. For the same reason any operator under the influence of Alice at time t commutes with all Bob’s operators at the same time. A simple example may help explain this formalism. Consider the situa ...
... at time t the three terms on the right side of Eq. 共2兲 commute, since they act on different Hilbert spaces. For the same reason any operator under the influence of Alice at time t commutes with all Bob’s operators at the same time. A simple example may help explain this formalism. Consider the situa ...
Phase diffusion pattern in quantum nondemolition systems
... × (e k − 1) cosh(rk ) + (e k − 1) sinh(rk )e k ρnm (0). ...
... × (e k − 1) cosh(rk ) + (e k − 1) sinh(rk )e k ρnm (0). ...
Introduction to the Bethe Ansatz I
... In 1931 Hans Bethe2 presented a method for obtaining the exact eigenvalues and eigenvectors of the onedimensional (1D) spin-1/2 Heisenberg model, a linear array of electrons with uniform exchange interaction between nearest neighbors. Bethe’s parametrization of the eigenvectors, the Bethe ansatz, ha ...
... In 1931 Hans Bethe2 presented a method for obtaining the exact eigenvalues and eigenvectors of the onedimensional (1D) spin-1/2 Heisenberg model, a linear array of electrons with uniform exchange interaction between nearest neighbors. Bethe’s parametrization of the eigenvectors, the Bethe ansatz, ha ...
Resource Letter SPE-1: Single-Photon Experiments in the Undergraduate Laboratory
... 2. “Observing the quantum behavior of light in an undergraduate laboratory,” J. J. Thorn, M. S. Neel, V. W. Donato, G. S. Bergreen, R. E. Davies, and M. Beck, Am. J. Phys. 72, 1210–1219 (2004). Presents the implementation of a fundamental experiment: How do we demonstrate the quantum nature of light ...
... 2. “Observing the quantum behavior of light in an undergraduate laboratory,” J. J. Thorn, M. S. Neel, V. W. Donato, G. S. Bergreen, R. E. Davies, and M. Beck, Am. J. Phys. 72, 1210–1219 (2004). Presents the implementation of a fundamental experiment: How do we demonstrate the quantum nature of light ...
Interacting Quantum Observables: Categorical Algebra and
... The bottom line is: crafting a simple intuitive graphical high-level language on the one hand, and performing an axiomatic study which places composition of systems at the forefront on the other hand, are in fact one and the same thing! Our particular focus here is complementarity of quantum observa ...
... The bottom line is: crafting a simple intuitive graphical high-level language on the one hand, and performing an axiomatic study which places composition of systems at the forefront on the other hand, are in fact one and the same thing! Our particular focus here is complementarity of quantum observa ...
Quantum critical temperature of a modulated oscillator Lingzhen Guo, Vittorio Peano, M. Marthaler,
... quasienergy gnκ ≡ gκ (T ) for given T as well as the characteristic temperature Tκ (gn ) for given gn where the T = 0 expression for the distribution (6) ceases to apply. To allow for the thermally induced modification of the probability distribution we seek it in the form (3) with Rn = Rn(0) + n . ...
... quasienergy gnκ ≡ gκ (T ) for given T as well as the characteristic temperature Tκ (gn ) for given gn where the T = 0 expression for the distribution (6) ceases to apply. To allow for the thermally induced modification of the probability distribution we seek it in the form (3) with Rn = Rn(0) + n . ...
Quantum supergroups and canonical bases Sean Clark University of Virginia Dissertation Defense
... U̇ admits a π-signed canonical basis generalizing the basis for U− . For π = 1, this specializes to Lusztig’s canonical basis for U̇|π=1 . Idea of proof (generalizing Lusztig): Consider modules N(λ, λ0 ) → U̇1λ−λ0 as λ, λ0 → ∞. Define epimorphisms t : N(λ + λ00 , λ00 + λ0 ) → N(λ, λ0 ). ({N(λ, λ0 )} ...
... U̇ admits a π-signed canonical basis generalizing the basis for U− . For π = 1, this specializes to Lusztig’s canonical basis for U̇|π=1 . Idea of proof (generalizing Lusztig): Consider modules N(λ, λ0 ) → U̇1λ−λ0 as λ, λ0 → ∞. Define epimorphisms t : N(λ + λ00 , λ00 + λ0 ) → N(λ, λ0 ). ({N(λ, λ0 )} ...
Direct and Indirect Couplings in Coherent
... exchanges quantum information with the quantum plant in the feedback loop. Such quantum information may flow directionally as a (possibly non-commutative) signal like a quantized electromagnetic field or an injected laser [51], [54], or directly via a bidirectional physical coupling [45], [24]. Full ...
... exchanges quantum information with the quantum plant in the feedback loop. Such quantum information may flow directionally as a (possibly non-commutative) signal like a quantized electromagnetic field or an injected laser [51], [54], or directly via a bidirectional physical coupling [45], [24]. Full ...
Evolving Quantum circuits - Portland State University
... logic for simplification, but the principles are the same for any MV logic). At least ternary and quaternary quantum logic is practically possible in year 2002. Qudits exist in a linear superposition of states, and are characterized by a wavefunction . As an example (d=2), it is possible to have li ...
... logic for simplification, but the principles are the same for any MV logic). At least ternary and quaternary quantum logic is practically possible in year 2002. Qudits exist in a linear superposition of states, and are characterized by a wavefunction . As an example (d=2), it is possible to have li ...
Department of Physics, Chemistry and Biology Master’s Thesis
... In order to explore a quantum version of a discrete nonlinear Schrödinger equation (DNLS), we quantize one nonlinear Schrödinger model, which is used to study different physical systems, e.g. coupled Bose-Einstein condensates. We will focus on small systems, like Dimer and Trimer. In our efforts to ...
... In order to explore a quantum version of a discrete nonlinear Schrödinger equation (DNLS), we quantize one nonlinear Schrödinger model, which is used to study different physical systems, e.g. coupled Bose-Einstein condensates. We will focus on small systems, like Dimer and Trimer. In our efforts to ...