
Quantum Channels - Institut Camille Jordan
... let them evolve along any unitary evolution, finally look at the resulting state for H. Translating this in a more mathematical langage, we are given a state ω on K, a unitary operator U on H ⊗ K. Given any initial state ρ on H, we couple the system H to K so that to obtain the state ρ ⊗ ω. After th ...
... let them evolve along any unitary evolution, finally look at the resulting state for H. Translating this in a more mathematical langage, we are given a state ω on K, a unitary operator U on H ⊗ K. Given any initial state ρ on H, we couple the system H to K so that to obtain the state ρ ⊗ ω. After th ...
Quantum scattering
... Therefore, the task of constructing the semiclassics of a scattering system is completed, if we can find a connection between the spectral density d(E) and the scattering matrix S . We will see that (35.12) provides the clue. Note that the right hand side of (35.12) has nearly the structure of (35.1 ...
... Therefore, the task of constructing the semiclassics of a scattering system is completed, if we can find a connection between the spectral density d(E) and the scattering matrix S . We will see that (35.12) provides the clue. Note that the right hand side of (35.12) has nearly the structure of (35.1 ...
Quantum computation and Shor`s factoring algorithm
... restriction at all on computing power. This is an important observation since the model of quantum computation introduced below is automatically reversible. Bennett’s result also shows that the performance of any computation does not require any necessary intrinsic energy dissipation. Remark. The co ...
... restriction at all on computing power. This is an important observation since the model of quantum computation introduced below is automatically reversible. Bennett’s result also shows that the performance of any computation does not require any necessary intrinsic energy dissipation. Remark. The co ...
coherent states in quantum mechanics
... position x and mass m. With these variables it is possible to determine the velocity v(=dx/dt), the momentum p(=mv) and any other dynamical variable of interest. Quantum mechanics describes the time evolution of physical systems in a different way, through the systems’ wavefunction: ψ(x, t). The var ...
... position x and mass m. With these variables it is possible to determine the velocity v(=dx/dt), the momentum p(=mv) and any other dynamical variable of interest. Quantum mechanics describes the time evolution of physical systems in a different way, through the systems’ wavefunction: ψ(x, t). The var ...
Quantum coherent biomolecular energy transfer with spatially
... where the bath with the Hamiltonian HB = 12 k (p2k + ωk2 qk2 ) is at thermal equilibrium at temperature T and the system is prepared according to ρ(0). Throughout this work, we always start with the exciton at the donor site, i.e., ρ(0) = |dihd|. We calculate ρ(t) using the numerically exact quasiad ...
... where the bath with the Hamiltonian HB = 12 k (p2k + ωk2 qk2 ) is at thermal equilibrium at temperature T and the system is prepared according to ρ(0). Throughout this work, we always start with the exciton at the donor site, i.e., ρ(0) = |dihd|. We calculate ρ(t) using the numerically exact quasiad ...
Entanglement and its Role in Shor`s Algorithm
... be hard to simulate classically. If the quantum computer is described using stabilizer formalism [5, 6], there are many highly entangled states that have simple classical descriptions, for instance the Bell and GHZ states. Moreover, a quantum computer using mixed states may still require exponentia ...
... be hard to simulate classically. If the quantum computer is described using stabilizer formalism [5, 6], there are many highly entangled states that have simple classical descriptions, for instance the Bell and GHZ states. Moreover, a quantum computer using mixed states may still require exponentia ...
Holographic quantum error-correcting code
... S(⇢A )for any tiling of a space with nonp ong as the distance functions have no local minima. To obtain the result, |`A | we use the correspondence between local m ns of EPR pairs. Let us first consider a wavefunction which is obtain perfect tensors as depicted in Fig. 6(a). By applying local unitar ...
... S(⇢A )for any tiling of a space with nonp ong as the distance functions have no local minima. To obtain the result, |`A | we use the correspondence between local m ns of EPR pairs. Let us first consider a wavefunction which is obtain perfect tensors as depicted in Fig. 6(a). By applying local unitar ...
Implementation of a Toffoli gate with superconducting circuits
... resonator, in a sample that is identical to the one used in ref. 14. The resonator is used for joint three-qubit read-out by measuring its transmission18. At the same time, it serves as a coupling bus for the qubits19. The qubits have a ladder-type energy level structure with sufficient anharmonicit ...
... resonator, in a sample that is identical to the one used in ref. 14. The resonator is used for joint three-qubit read-out by measuring its transmission18. At the same time, it serves as a coupling bus for the qubits19. The qubits have a ladder-type energy level structure with sufficient anharmonicit ...
A fully self-consistent treatment of collective
... an overview of our self-consistent quantum mode-coupling approach to density fluctuations in quantum liquids. Furthermore, we discuss the improvements of the present approach and the physical approximation that are introduced to make our current study amenable to path integral Monte Carlo 共PIMC兲 sim ...
... an overview of our self-consistent quantum mode-coupling approach to density fluctuations in quantum liquids. Furthermore, we discuss the improvements of the present approach and the physical approximation that are introduced to make our current study amenable to path integral Monte Carlo 共PIMC兲 sim ...