Quantum Gates and Simon`s Algorithm
... A register of two coupled qubits can hold any of the states |Ψi = α |↑↑i + β |↓↑i + γ |↑↓i + δ |↓↓i in the state space H2 ⊗ H2 = C2 ⊗ C2 . Two separate qubits Two separate qubits can hold any of the product states |Ψ1 i ⊗ |Ψ2 i = (α1 |↑i + β1 |↓i)⊗(α2 |↑i + β2 |↓i) in the state space H2 ⊕ H2 ⊂ C2 ⊕ ...
... A register of two coupled qubits can hold any of the states |Ψi = α |↑↑i + β |↓↑i + γ |↑↓i + δ |↓↓i in the state space H2 ⊗ H2 = C2 ⊗ C2 . Two separate qubits Two separate qubits can hold any of the product states |Ψ1 i ⊗ |Ψ2 i = (α1 |↑i + β1 |↓i)⊗(α2 |↑i + β2 |↓i) in the state space H2 ⊕ H2 ⊂ C2 ⊕ ...
ABSTRACT RANDOM ROUTING AND CONCENTRATION IN QUANTUM SWITCHING NETWORKS
... single atom, to exist in a superposition of the binary “0” and “1” states. With n qubits a quantum computer can be in 2n unique states at any given time. These states can be inter-correlated such that a single logic gate can act on all possible 2n states at once. This is the source of quantum parall ...
... single atom, to exist in a superposition of the binary “0” and “1” states. With n qubits a quantum computer can be in 2n unique states at any given time. These states can be inter-correlated such that a single logic gate can act on all possible 2n states at once. This is the source of quantum parall ...
Abstract Experiments demonstrating entanglement swapping have
... without there being a process that carries this influence contiguously in space and time. (Berkovitz 2016).4 To account for entanglement swapping in the manner above, the proponent of action at a distance must allow that the relational properties of particles (i.e., their entanglement relations) can ...
... without there being a process that carries this influence contiguously in space and time. (Berkovitz 2016).4 To account for entanglement swapping in the manner above, the proponent of action at a distance must allow that the relational properties of particles (i.e., their entanglement relations) can ...
The density-matrix renormalization group in the age of matrix
... account of DMRG as of summer 2004. I rather want to limit myself to more recent developments and phrase them entirely in the language of matrix product states, focussing rather on the nuts and bolts of the methods than showing a lot of applications. My hope would be that this review would allow newc ...
... account of DMRG as of summer 2004. I rather want to limit myself to more recent developments and phrase them entirely in the language of matrix product states, focussing rather on the nuts and bolts of the methods than showing a lot of applications. My hope would be that this review would allow newc ...
Measurements in Proof Nets as Higher
... theory. The latter are attracting attention as a useful presentation of quantum nonlocality (see e.g. [9]). On the other hand, while the languages in [11, 16, 21] are much more expressive—they include duplicable classical data (by the ! modality) and/or recursion—their models given in [11, 16] rely ...
... theory. The latter are attracting attention as a useful presentation of quantum nonlocality (see e.g. [9]). On the other hand, while the languages in [11, 16, 21] are much more expressive—they include duplicable classical data (by the ! modality) and/or recursion—their models given in [11, 16] rely ...
The Haldane-charge conjecture
... the tunability of interactions in these systems using optical lattices and Feshbach resonances. A first possible direction is to consider spin-1 bosons loaded into a 1D optical lattice with one atom per site so that the Haldane phase is one of the possible insulating phases of this model.10 A second ...
... the tunability of interactions in these systems using optical lattices and Feshbach resonances. A first possible direction is to consider spin-1 bosons loaded into a 1D optical lattice with one atom per site so that the Haldane phase is one of the possible insulating phases of this model.10 A second ...
dagrep_v005_i004_p123_s15181. - DROPS
... Ever since Goldwasser and Micali – recipients of the ACM Turing Award in 2013 – introduced probabilistic encryption, probability has played a central role in cryptography: virtually all cryptographic algorithms are randomized, and have probabilistic security guarantees. Similarly, perturbing outputs ...
... Ever since Goldwasser and Micali – recipients of the ACM Turing Award in 2013 – introduced probabilistic encryption, probability has played a central role in cryptography: virtually all cryptographic algorithms are randomized, and have probabilistic security guarantees. Similarly, perturbing outputs ...
Metric gluing of Brownian and sqrt(8/3)-Liouville
... (see [DS11, Proposition 2.1] and its length measure analog). p In this paper we will be interested in several specific types of 8/3-LQG surfaces which are defined and studied in [DMS14]. Let Q be as in (1.2). For α ≤ Q, an α-quantum wedge is a doubly-marked quantum surface (H, h, 0, ∞) which can be ...
... (see [DS11, Proposition 2.1] and its length measure analog). p In this paper we will be interested in several specific types of 8/3-LQG surfaces which are defined and studied in [DMS14]. Let Q be as in (1.2). For α ≤ Q, an α-quantum wedge is a doubly-marked quantum surface (H, h, 0, ∞) which can be ...
Introduction to Quantum Information
... If we encoded each of the k distinct symbols as a distinct binary number, i.e., as a distinct string of 0’s and 1’s, we would need strings composed of log k bits to represent each symbol (2log k = k). Shannon’s analysis shows that messages produced by a stochastic source can be compressed, in the se ...
... If we encoded each of the k distinct symbols as a distinct binary number, i.e., as a distinct string of 0’s and 1’s, we would need strings composed of log k bits to represent each symbol (2log k = k). Shannon’s analysis shows that messages produced by a stochastic source can be compressed, in the se ...
manipulating single atoms - Quantum technologies
... detuned laser beams in combination with a magnetic quadrupole field. It remains to this day the work horse of physics with cold atoms and serves in nearly all experiments to initially prepare an ensemble of atoms at very low velocities. The MOT capture rate is determined by the gradient of the magne ...
... detuned laser beams in combination with a magnetic quadrupole field. It remains to this day the work horse of physics with cold atoms and serves in nearly all experiments to initially prepare an ensemble of atoms at very low velocities. The MOT capture rate is determined by the gradient of the magne ...
An important problem, not discussed so far by other authors, is the
... in quantum circuit design necessary to understand the paper. Examples are used to illustrate the most important notions. Section 3 describes the general problem of synthesis of quantum circuits (called also quantum arrays) from primitive quantum gates, especially using evolutionary algorithms. Secti ...
... in quantum circuit design necessary to understand the paper. Examples are used to illustrate the most important notions. Section 3 describes the general problem of synthesis of quantum circuits (called also quantum arrays) from primitive quantum gates, especially using evolutionary algorithms. Secti ...
Basic Notions of Quantum Network Science
... For n particles, the state at any given time is given by 6n parameters (x1 , x2 , · · · , xn ) ...
... For n particles, the state at any given time is given by 6n parameters (x1 , x2 , · · · , xn ) ...
Non-Abelian Anyons and Topological Quantum Computation
... the concepts of non-Abelian anyons and topological quantum computation, their inter-connections, and how they may be realized in physical systems, particularly in several fractional quantum Hall states. (For a popular account, see Collins, 2006; for a slightly more technical one, see Das Sarma et al ...
... the concepts of non-Abelian anyons and topological quantum computation, their inter-connections, and how they may be realized in physical systems, particularly in several fractional quantum Hall states. (For a popular account, see Collins, 2006; for a slightly more technical one, see Das Sarma et al ...
4, 2710 (2013)
... describes 1 scattering interaction, where g ¼ P the s-wave is the scattering interaction strength, Eb k k 2 =m þ Eb is the binding energy and k1 þ k2 ¼ k3 þ k4 due to the momentum conservation. In experiments, 2D degenerate Fermi gases can be realized using a 1D deep optical lattice along th ...
... describes 1 scattering interaction, where g ¼ P the s-wave is the scattering interaction strength, Eb k k 2 =m þ Eb is the binding energy and k1 þ k2 ¼ k3 þ k4 due to the momentum conservation. In experiments, 2D degenerate Fermi gases can be realized using a 1D deep optical lattice along th ...
the final version of Abstract Book
... them. They can be studied by methods of condensed matter physics and quantum optics in details to observe the quantum phenomena in order to obtain a deeper understanding of quantum physics, as represented by quantum interference phenomena, entanglement, the uncertainty principle, non-locality and qu ...
... them. They can be studied by methods of condensed matter physics and quantum optics in details to observe the quantum phenomena in order to obtain a deeper understanding of quantum physics, as represented by quantum interference phenomena, entanglement, the uncertainty principle, non-locality and qu ...