Limitations on quantum dimensionality reduction
... constant. So Alice and Bob each simply apply this map to their vectors, renormalize the output (which makes very little di®erence to the inner products), and send the Oðlog nÞ qubit states corresponding to the resulting OðnÞ-dimensional vectors to the referee, who applies the swap test to the states ...
... constant. So Alice and Bob each simply apply this map to their vectors, renormalize the output (which makes very little di®erence to the inner products), and send the Oðlog nÞ qubit states corresponding to the resulting OðnÞ-dimensional vectors to the referee, who applies the swap test to the states ...
Driven Quantum Systems - Physik Uni
... system generally jumps to a different state Ψ(x, t) = ϕ2 (x) exp(−iE2 t/h̄). For example, this phenomenon is known in NMR as spin exchange; it relates to a rapid (as compared to relaxation processes) adiabatic crossing of the resonance. Moreover, as seen in Fig. 5.1a, the quasienergy 2k and Floquet ...
... system generally jumps to a different state Ψ(x, t) = ϕ2 (x) exp(−iE2 t/h̄). For example, this phenomenon is known in NMR as spin exchange; it relates to a rapid (as compared to relaxation processes) adiabatic crossing of the resonance. Moreover, as seen in Fig. 5.1a, the quasienergy 2k and Floquet ...
Two constructions of quantum graphs and two types of
... where αj denote the incoming bonds and βj denote the outgoing ones. The matching condition takes the form Fi (v) = σ (v) Fo (v), where σ (v) is a δ×δ-dimensional matrix. A quick calculation shows that the operator −iD is self-adjoint if and only if the matrices σ (v) are unitary for every v. Solving ...
... where αj denote the incoming bonds and βj denote the outgoing ones. The matching condition takes the form Fi (v) = σ (v) Fo (v), where σ (v) is a δ×δ-dimensional matrix. A quick calculation shows that the operator −iD is self-adjoint if and only if the matrices σ (v) are unitary for every v. Solving ...
Quantum stochastic processes as models for state vector reduction
... equivalently, Wiener processes) for the state vector V( t ) during a quantum measurement. There are other works, too, concerning phenomenology of quantum measurements distributed in time [14, 151 or even continuous in time [16, 171. In the present paper we reconsider the common ingredient of the abo ...
... equivalently, Wiener processes) for the state vector V( t ) during a quantum measurement. There are other works, too, concerning phenomenology of quantum measurements distributed in time [14, 151 or even continuous in time [16, 171. In the present paper we reconsider the common ingredient of the abo ...
Topological Chern Indices in Molecular Spectra
... is not too strong, further splitting of the rovibrational structure into subbands can be clearly seen. The well-known example is the splitting of the triply degenerate vibrational structure for a spherically symmetrical molecule into three subbands due to the first-order Coriolis interaction [2,3]. ...
... is not too strong, further splitting of the rovibrational structure into subbands can be clearly seen. The well-known example is the splitting of the triply degenerate vibrational structure for a spherically symmetrical molecule into three subbands due to the first-order Coriolis interaction [2,3]. ...
Part 1 - SCIPP
... 1 and 2. We require that the four-momentums be equal. Thus, p1x = p2x . Using the fact that E = |p| for a photon, this means that E1 = E2 . Therefore, ...
... 1 and 2. We require that the four-momentums be equal. Thus, p1x = p2x . Using the fact that E = |p| for a photon, this means that E1 = E2 . Therefore, ...
Long Distance, Unconditional Teleportation of Atomic States V 87, N
... cavities, with their respective atoms either physically displaced or optically detuned so that no A-to-B absorptions occur. After a short loading interval (a few cold-cavity lifetimes, say, 400 ns), each atom is moved (or tuned) into the absorbing position and B-to-D pumping is initiated. After abou ...
... cavities, with their respective atoms either physically displaced or optically detuned so that no A-to-B absorptions occur. After a short loading interval (a few cold-cavity lifetimes, say, 400 ns), each atom is moved (or tuned) into the absorbing position and B-to-D pumping is initiated. After abou ...
arXiv:quant-ph/0610027v1 4 Oct 2006
... The optimal error probability of discriminating two quantum states ρ0 and ρ1 has been identified a long time ago by Helström [3]. We consider the two hypotheses H0 and H1 that a given quantum system is prepared either in the state ρ0 or in the state ρ1 , respectively. Since the (quantum) Chernoff b ...
... The optimal error probability of discriminating two quantum states ρ0 and ρ1 has been identified a long time ago by Helström [3]. We consider the two hypotheses H0 and H1 that a given quantum system is prepared either in the state ρ0 or in the state ρ1 , respectively. Since the (quantum) Chernoff b ...
The hydrogen atom as an entangled electron–proton system
... which is diagonal and shows that the l eigenvalues are equal to l5 u c l u 2 . This also shows that the eigenvectors with zero eigenvalue do not participate in the expansion. The eigenvalues l are thus both the probabilities of finding subsystem u in the states u u l & and the probabilities of findi ...
... which is diagonal and shows that the l eigenvalues are equal to l5 u c l u 2 . This also shows that the eigenvectors with zero eigenvalue do not participate in the expansion. The eigenvalues l are thus both the probabilities of finding subsystem u in the states u u l & and the probabilities of findi ...
Theoretical and experimental IR line shape (from B.M. Auer and J.L.
... • Gases are fully non coherent systems • Liquids are systems where electron clouds are coherent • Solids are systems where nuclei, too, are coherent • Liquid water is peculiar, since the coherent oscillation connects two electronic configurations that have extreme features: 1) The ground configurati ...
... • Gases are fully non coherent systems • Liquids are systems where electron clouds are coherent • Solids are systems where nuclei, too, are coherent • Liquid water is peculiar, since the coherent oscillation connects two electronic configurations that have extreme features: 1) The ground configurati ...
Phys. Rev. Lett. 98, 070602
... where h (J) is the strength of the magnetic field (Ising interaction). These are the dominant perturbations expected in a physical implementation; e.g., in a Josephson junction implementation [3,4] they arise from electric potential perturbations or Coulomb interactions between neighboring quantum d ...
... where h (J) is the strength of the magnetic field (Ising interaction). These are the dominant perturbations expected in a physical implementation; e.g., in a Josephson junction implementation [3,4] they arise from electric potential perturbations or Coulomb interactions between neighboring quantum d ...
Quantum information processing by nuclear magnetic resonance
... if the spin states of all its molecules were the same. It will be shown below that the dynamics of the unique spin state associated with a pseudopure ensemble are identical to those of a single molecule in that state, and that the ensemble average magnetism observed is proportional to the correspond ...
... if the spin states of all its molecules were the same. It will be shown below that the dynamics of the unique spin state associated with a pseudopure ensemble are identical to those of a single molecule in that state, and that the ensemble average magnetism observed is proportional to the correspond ...
What is quantum unique ergodicity?
... So what about QUE? Is there a correspondingly close relationship between classical and quantum unique ergodicity? In fact, heuristically one does not expect such a close relationship. The reason for this is that classical unique ergodicity is an extremely strong condition — the existence of a single ...
... So what about QUE? Is there a correspondingly close relationship between classical and quantum unique ergodicity? In fact, heuristically one does not expect such a close relationship. The reason for this is that classical unique ergodicity is an extremely strong condition — the existence of a single ...
odinger Equations for Identical Particles and the Separation Property
... of translation invariant second order differential operators is linear. This result of course does not rule out the physical possibility of nonlinear quantum mechanics for identical particles, but points out a further subtlety in its manifestation. The separation property cannot be used as a generali ...
... of translation invariant second order differential operators is linear. This result of course does not rule out the physical possibility of nonlinear quantum mechanics for identical particles, but points out a further subtlety in its manifestation. The separation property cannot be used as a generali ...
Goldstone Bosons and Chiral Symmetry Breaking in QCD
... Since the π mesons are, by assumption, light, we can focus on these. If we have a non-zero pion field, we can think of the fermions as being given by: πa ...
... Since the π mesons are, by assumption, light, we can focus on these. If we have a non-zero pion field, we can think of the fermions as being given by: πa ...