Characterizing and witnessing multipartite correlations: from nonlocality to contextuality PhD thesis
... Bell’s theorem relies on natural assumptions on the causal structure of experiments. These assumptions are that: far-apart observers cannot influence each other instantaneously (locality, also known as no-signaling), they can choose their respective measurements independently (free-will), and physic ...
... Bell’s theorem relies on natural assumptions on the causal structure of experiments. These assumptions are that: far-apart observers cannot influence each other instantaneously (locality, also known as no-signaling), they can choose their respective measurements independently (free-will), and physic ...
Shor state
... the ability of qubits to be in superposition states and to become entangled. Powerful quantum algorithms already known include Shor’s algorithm to factor large numbers and Grover’s fast database searches Careful explorations of the basic elements involved in implementing fault-tolerant quantum com ...
... the ability of qubits to be in superposition states and to become entangled. Powerful quantum algorithms already known include Shor’s algorithm to factor large numbers and Grover’s fast database searches Careful explorations of the basic elements involved in implementing fault-tolerant quantum com ...
Completeness and the zx-calculus
... The problems being investigated in quantum-theoretical research are getting increasingly complex. As the experimental realisation of usefully-sized general-purpose quantum computers approaches, the focus of much theoretical research in quantum computation is on fault-tolerant computation schemes [42 ...
... The problems being investigated in quantum-theoretical research are getting increasingly complex. As the experimental realisation of usefully-sized general-purpose quantum computers approaches, the focus of much theoretical research in quantum computation is on fault-tolerant computation schemes [42 ...
Single and double bosonic stimulation of THz emission in polaritonic systems
... states and the THz mode using a set of steady-state Boltzmann equations, specific for each type of emitter, described in details in Methods. We calculate the occupancies of the THz mode, the polaritonic states and a quantum efficiency of the emitters as a function of the pumping rate and the THz cav ...
... states and the THz mode using a set of steady-state Boltzmann equations, specific for each type of emitter, described in details in Methods. We calculate the occupancies of the THz mode, the polaritonic states and a quantum efficiency of the emitters as a function of the pumping rate and the THz cav ...
Preparing topologically ordered states by Hamiltonian
... interpolations starting from various product states, i.e., by choosing different initial Hamiltonians Htriv . To each choice Ψ(0) = ϕ⊗L of product state we associate a normalized initial trivial P (j) Hamiltonian Htriv := − j Pϕ which fully specifies the interpolating path of Eq. (1), with (j) ...
... interpolations starting from various product states, i.e., by choosing different initial Hamiltonians Htriv . To each choice Ψ(0) = ϕ⊗L of product state we associate a normalized initial trivial P (j) Hamiltonian Htriv := − j Pϕ which fully specifies the interpolating path of Eq. (1), with (j) ...
Non-Markovian entanglement dynamics between two coupled
... Entanglement is a remarkable feature of quantum mechanics, and its investigation is both of practical and theoretical significance. It is viewed as a basic resource for quantum information processing (QIP) [1], like realizing high-speed quantum computation [2] and high-security quantum communication ...
... Entanglement is a remarkable feature of quantum mechanics, and its investigation is both of practical and theoretical significance. It is viewed as a basic resource for quantum information processing (QIP) [1], like realizing high-speed quantum computation [2] and high-security quantum communication ...
Limits on Efficient Computation in the Physical World
... My adviser, Umesh Vazirani, once said that he admires the quantum adiabatic algorithm because, like a great squash player, it achieves its goal while moving as little as it can get away with. Throughout my four years at Berkeley, I saw Umesh inculcate by example his “adiabatic” philosophy of life: a ...
... My adviser, Umesh Vazirani, once said that he admires the quantum adiabatic algorithm because, like a great squash player, it achieves its goal while moving as little as it can get away with. Throughout my four years at Berkeley, I saw Umesh inculcate by example his “adiabatic” philosophy of life: a ...
Chapter 5: Optical Processes in Semiconductors
... carrier transition rates R, the rate-equations of carriers and photons and the optical gain g(ω,n) • Nonclassical description of the motion of bound electrons in the static force fields of the atomic nucleus or crystal lattice and a oscillating light wave • The equation of motion and polarization ha ...
... carrier transition rates R, the rate-equations of carriers and photons and the optical gain g(ω,n) • Nonclassical description of the motion of bound electrons in the static force fields of the atomic nucleus or crystal lattice and a oscillating light wave • The equation of motion and polarization ha ...
Improve The Convergence of Jarzynski Equality through Fast
... between instantaneous eigenstates (In the rest of the report, “work due to transitions between instantaneous eigenstates” is simply referred as “negative work” for convenience.) during the convergence by comparing the rate of convergence under different temperatures and analysing the negative-work r ...
... between instantaneous eigenstates (In the rest of the report, “work due to transitions between instantaneous eigenstates” is simply referred as “negative work” for convenience.) during the convergence by comparing the rate of convergence under different temperatures and analysing the negative-work r ...
Basic Notions of Quantum Network Science
... by ISI as one of the ten most cited papers in physics in the decade after its publication. • 1999: Barabasi and Albert paper is the most cited Science paper in 1999;highlighted by ISI as one of the ten most cited papers in physics in the decade after its publication. • 2001: Pastor -Satorras and Ves ...
... by ISI as one of the ten most cited papers in physics in the decade after its publication. • 1999: Barabasi and Albert paper is the most cited Science paper in 1999;highlighted by ISI as one of the ten most cited papers in physics in the decade after its publication. • 2001: Pastor -Satorras and Ves ...
Studies of Infinite Two-Dimensional Quantum Lattice
... Determining the properties of quantum many-body systems is a central challenge in modern physics. Being able to determine the macroscopic properties of a system from its microscopic description would hasten progress in many fields of science and technology. However, we currently lack the tools to so ...
... Determining the properties of quantum many-body systems is a central challenge in modern physics. Being able to determine the macroscopic properties of a system from its microscopic description would hasten progress in many fields of science and technology. However, we currently lack the tools to so ...
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 ⊕ ...
Categorical Models for Quantum Computing
... of the 2-categories 2(F Hilb), and 2(Rel) is; and we construct an isomorphism between a full subcategory of 2(F Hilb) and the weak 2-category 2Hilb. The category 2(F Hilb) is important, because F Hilb is the original model for quantum theory; and the category 2(Rel) is interesting, because Rel is a ...
... of the 2-categories 2(F Hilb), and 2(Rel) is; and we construct an isomorphism between a full subcategory of 2(F Hilb) and the weak 2-category 2Hilb. The category 2(F Hilb) is important, because F Hilb is the original model for quantum theory; and the category 2(Rel) is interesting, because Rel is a ...
ABSTRACT RANDOM ROUTING AND CONCENTRATION IN QUANTUM SWITCHING NETWORKS
... This cost can be greatly reduced by using efficient switching network designs. The basic premise of this idea is to use arrangements of reconfigurable switches with input quantum bits on their own quantum wires and then route them to the required destination. These switches are represented using qu ...
... This cost can be greatly reduced by using efficient switching network designs. The basic premise of this idea is to use arrangements of reconfigurable switches with input quantum bits on their own quantum wires and then route them to the required destination. These switches are represented using qu ...
Metric gluing of Brownian and sqrt(8/3)-Liouville
... In this paper we will be interested in several particular types of 8/3-LQG surfaces which are defined in p [DMS14]. These include quantum spheres, which are finite-volume LQG surfaces (i.e., the total mass of the 8/3-LQG measure µh is finite) parameterized by the Riemann sphere C ∪ {∞}; quantum disk ...
... In this paper we will be interested in several particular types of 8/3-LQG surfaces which are defined in p [DMS14]. These include quantum spheres, which are finite-volume LQG surfaces (i.e., the total mass of the 8/3-LQG measure µh is finite) parameterized by the Riemann sphere C ∪ {∞}; quantum disk ...
TrajectoryBased Nonadiabatic Dynamics with TimeDependent
... and Y(r,R,t) is the total wavefunction of the nuclear (labeled with g and z) and electronic (labeled with i and j) degrees of freedom. In the following, atomic units will be used except for the reduced Planck constant h, which will be kept for clarity. In this first section, we will derive the equa ...
... and Y(r,R,t) is the total wavefunction of the nuclear (labeled with g and z) and electronic (labeled with i and j) degrees of freedom. In the following, atomic units will be used except for the reduced Planck constant h, which will be kept for clarity. In this first section, we will derive the equa ...
