Scattering model for quantum random walk on the hypercube
... vertex having the same number of outgoing edges). The definition on non-regular graphs is also possible, and some interesting algorithms are based on this version [12]. However, the latter version does not possess the symmetries of the former one, nor its neat tensor product structure (the unitary e ...
... vertex having the same number of outgoing edges). The definition on non-regular graphs is also possible, and some interesting algorithms are based on this version [12]. However, the latter version does not possess the symmetries of the former one, nor its neat tensor product structure (the unitary e ...
Chirped-frequency excitation of gravitationally bound ultracold
... states by climbing the energy levels one by one. The proposed experiment may have an impact on several areas of fundamental physics. In particular, it could allow the observation of the transition from quantum ladder climbing to classical autoresonance [17] which occurs at high energies. Further, it ...
... states by climbing the energy levels one by one. The proposed experiment may have an impact on several areas of fundamental physics. In particular, it could allow the observation of the transition from quantum ladder climbing to classical autoresonance [17] which occurs at high energies. Further, it ...
Defining and Measuring Multi-partite Entanglement
... iterations, for different number of quantum bits needed in the quantum register (6 to 12). It can be seen that during the operation of the algorithm entanglement is created, and then removed. It returns to zero exactly at the time when the measurement is performed. Also, it is seen that the maximal ...
... iterations, for different number of quantum bits needed in the quantum register (6 to 12). It can be seen that during the operation of the algorithm entanglement is created, and then removed. It returns to zero exactly at the time when the measurement is performed. Also, it is seen that the maximal ...
Chapter 2: Interacting Rydberg atoms
... The |+i state does not have any |ggi component, so either Ugg or Ugg would have to be zero. But any of these choices will also cause the |gri or |rgi component to vanish, making it impossible to write |+i as a product state. Such quantum states that cannot be written as product states are entangled ...
... The |+i state does not have any |ggi component, so either Ugg or Ugg would have to be zero. But any of these choices will also cause the |gri or |rgi component to vanish, making it impossible to write |+i as a product state. Such quantum states that cannot be written as product states are entangled ...
Ultrafast geometric control of a single qubit using chirped pulses
... In the last few decades, many universal sets of quantum gates have been proposed for quantum computation [1–3]. Various combinations of quantum gates have been intensively discussed in the literature related to the universality in quantum computation [1, 4–6]. To perform quantum computation, one mus ...
... In the last few decades, many universal sets of quantum gates have been proposed for quantum computation [1–3]. Various combinations of quantum gates have been intensively discussed in the literature related to the universality in quantum computation [1, 4–6]. To perform quantum computation, one mus ...
Braid Topologies for Quantum Computation
... (TQC) [1, 2] offers a particularly elegant way to achieve this using quasiparticles which obey nonabelian statistics [3, 4]. These quasiparticles, which are expected to arise in a variety of two-dimensional quantum many-body systems [1, 4, 5, 6, 7, 8, 9, 10, 11], have the property that the usual pha ...
... (TQC) [1, 2] offers a particularly elegant way to achieve this using quasiparticles which obey nonabelian statistics [3, 4]. These quasiparticles, which are expected to arise in a variety of two-dimensional quantum many-body systems [1, 4, 5, 6, 7, 8, 9, 10, 11], have the property that the usual pha ...
Quantum memory for superconducting qubits 兲
... qubits relative to the resonator frequency, as well as to each other. Although the lowest pair of levels in a harmonic oscillator cannot be frequency selected by an external driving field, resonators are quite desirable as coupling elements because of their potential for having extremely high qualit ...
... qubits relative to the resonator frequency, as well as to each other. Although the lowest pair of levels in a harmonic oscillator cannot be frequency selected by an external driving field, resonators are quite desirable as coupling elements because of their potential for having extremely high qualit ...
Is a System`s Wave Function in One-to
... P PA ; hence, this condition is equivalent to demanding P ð; c Þ > 0 and PA ðaÞ > 0. Now consider some fixed ¼ and suppose that there exist two states c 0 and c 1 such that P ð; c 0 Þ>0 and P ð; c 1 Þ > 0. From Eq. (3), this implies PXj¼ c 0 ;A¼a ¼PXj¼ c 1 ;A¼a for all a such that ...
... P PA ; hence, this condition is equivalent to demanding P ð; c Þ > 0 and PA ðaÞ > 0. Now consider some fixed ¼ and suppose that there exist two states c 0 and c 1 such that P ð; c 0 Þ>0 and P ð; c 1 Þ > 0. From Eq. (3), this implies PXj¼ c 0 ;A¼a ¼PXj¼ c 1 ;A¼a for all a such that ...
Quantum teleportation
Quantum teleportation is a process by which quantum information (e.g. the exact state of an atom or photon) can be transmitted (exactly, in principle) from one location to another, with the help of classical communication and previously shared quantum entanglement between the sending and receiving location. Because it depends on classical communication, which can proceed no faster than the speed of light, it cannot be used for faster-than-light transport or communication of classical bits. It also cannot be used to make copies of a system, as this violates the no-cloning theorem. While it has proven possible to teleport one or more qubits of information between two (entangled) atoms, this has not yet been achieved between molecules or anything larger.Although the name is inspired by the teleportation commonly used in fiction, there is no relationship outside the name, because quantum teleportation concerns only the transfer of information. Quantum teleportation is not a form of transportation, but of communication; it provides a way of transporting a qubit from one location to another, without having to move a physical particle along with it.The seminal paper first expounding the idea was published by C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres and W. K. Wootters in 1993. Since then, quantum teleportation was first realized with single photons and later demonstrated with various material systems such as atoms, ions, electrons and superconducting circuits. The record distance for quantum teleportation is 143 km (89 mi).