Topological Insulators and Topological Semi-metals
... 6. HgCr2Se4 is a topological Chern semi-metal with a single pair of magnetic monopoles in the bulk, and Fermi arcs on the surface. 7. Possible QAHE in HgCr2Se4 quantum well structure. ...
... 6. HgCr2Se4 is a topological Chern semi-metal with a single pair of magnetic monopoles in the bulk, and Fermi arcs on the surface. 7. Possible QAHE in HgCr2Se4 quantum well structure. ...
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... j=1 |Pf (j) − Pg (j)| ≥ . Note that f = g implies Pf = Pg but not vice versa (for instance, permuting f leaves Pf invariant). Two problems of testing distributions can be formally stated as follows: • Unknown-unknown case. Given n, m, and oracle access to f, g : [n] → [m], how many queries to f a ...
... j=1 |Pf (j) − Pg (j)| ≥ . Note that f = g implies Pf = Pg but not vice versa (for instance, permuting f leaves Pf invariant). Two problems of testing distributions can be formally stated as follows: • Unknown-unknown case. Given n, m, and oracle access to f, g : [n] → [m], how many queries to f a ...
Chapter 2 Foundations I: States and Ensembles
... phase is physically irrelevant. A qubit is a state in a two-dimensional Hilbert space that can take any value of the form eq. (2.11). We can perform a measurement that projects the qubit onto the basis {|0i, |1i}. Then we will obtain the outcome |0i with probability |a|2, and the outcome |1i with pr ...
... phase is physically irrelevant. A qubit is a state in a two-dimensional Hilbert space that can take any value of the form eq. (2.11). We can perform a measurement that projects the qubit onto the basis {|0i, |1i}. Then we will obtain the outcome |0i with probability |a|2, and the outcome |1i with pr ...
... a uniform time-dependent magnetic field has been analyzed when the magnetic field changes linearly in time, flipping its direction in a given time interval. An exact analytical solution for the time-evolved wave function has been obtained when the initial state corresponds to a specific Fock-Darwin ...
Some remarks on the Quantum Hall Effect - IPhT
... individually ki can take any integer values, collectively they are constrained to be separated by at least β. At this point, we are not in position to assert that the Calogero-Sutherland Hamiltonian (15) can be regarded as an effective Hamiltonian representing the Coulomb interaction in the fractiona ...
... individually ki can take any integer values, collectively they are constrained to be separated by at least β. At this point, we are not in position to assert that the Calogero-Sutherland Hamiltonian (15) can be regarded as an effective Hamiltonian representing the Coulomb interaction in the fractiona ...
Decision-based Probabilities in the Everett - Philsci
... Game 1: The agent receives the payoff iff the result is spin up. Game 2: The agent receives the payoff iff the result is spin down. 3 [Wallace’s footnote] In this section I confine my observations to those interpretations of quantum mechanics which are in some sense “realist” and observer-independen ...
... Game 1: The agent receives the payoff iff the result is spin up. Game 2: The agent receives the payoff iff the result is spin down. 3 [Wallace’s footnote] In this section I confine my observations to those interpretations of quantum mechanics which are in some sense “realist” and observer-independen ...
Quantum coding with finite resources
... it is natural to ask how well quantum coding schemes perform when we restrict the size of the quantum devices used for encoding the channel inputs and decoding its outputs. This is equivalent to considering communication with only a fixed number of channel uses. In this work, following the footsteps ...
... it is natural to ask how well quantum coding schemes perform when we restrict the size of the quantum devices used for encoding the channel inputs and decoding its outputs. This is equivalent to considering communication with only a fixed number of channel uses. In this work, following the footsteps ...
Doubly infinite separation of quantum information and communication Please share
... parties to accomplish a given communication task. Such tasks are typically formalized as follows: Players are given private inputs and asked to solve some computational problems based on them. To do this, some communication will have to take place in the form of exchanging messages. While such model ...
... parties to accomplish a given communication task. Such tasks are typically formalized as follows: Players are given private inputs and asked to solve some computational problems based on them. To do this, some communication will have to take place in the form of exchanging messages. While such model ...
D-Wave quantum computer
... quantum counterpart along with the simulation of quantum annealing. After that, I will analyze the DWave 2X machine characteristics, its mechanism and review the most recent comparisons with the simulated annealing and the algorithms working in the fastest classical supercomputers. Last but not leas ...
... quantum counterpart along with the simulation of quantum annealing. After that, I will analyze the DWave 2X machine characteristics, its mechanism and review the most recent comparisons with the simulated annealing and the algorithms working in the fastest classical supercomputers. Last but not leas ...
Realization of quantum error correction
... Scalable quantum computation1 and communication require error control to protect quantum information against unavoidable noise. Quantum error correction2,3 protects information stored in two-level quantum systems (qubits) by rectifying errors with operations conditioned on the measurement outcomes. ...
... Scalable quantum computation1 and communication require error control to protect quantum information against unavoidable noise. Quantum error correction2,3 protects information stored in two-level quantum systems (qubits) by rectifying errors with operations conditioned on the measurement outcomes. ...
Quantum Mechanics
... state of a particle is described by its so-called wavefunction Ψ, which is generally a complex number and which could be represented, for example, as a function of co-ordinates and time, like so: Ψ = Ψ(x, y, z, t). The probability to find the particle at time t at position with co-ordinates x, y and ...
... state of a particle is described by its so-called wavefunction Ψ, which is generally a complex number and which could be represented, for example, as a function of co-ordinates and time, like so: Ψ = Ψ(x, y, z, t). The probability to find the particle at time t at position with co-ordinates x, y and ...
Coherent, Squeezed, and Thermal State of Harmonic Oscillator with
... where xmax(0) is maximum amplitude at t = 0. Coherent state The coherent states are displaced ground state wave functions. They resemble the classical fields as close as quantum mechanics permits. An expression of coherent state in terms of |n(t)〉 is ...
... where xmax(0) is maximum amplitude at t = 0. Coherent state The coherent states are displaced ground state wave functions. They resemble the classical fields as close as quantum mechanics permits. An expression of coherent state in terms of |n(t)〉 is ...
Introduction to the Fractional Quantum Hall Effect
... quantum number ν is a simple integer with a precision of about 10−10 and an absolute accuracy of about 10−8 (both being limited by our ability to do resistance metrology). In 1982, Tsui, Störmer and Gossard discovered that in certain devices with reduced (but still non-zero) disorder, the quantum n ...
... quantum number ν is a simple integer with a precision of about 10−10 and an absolute accuracy of about 10−8 (both being limited by our ability to do resistance metrology). In 1982, Tsui, Störmer and Gossard discovered that in certain devices with reduced (but still non-zero) disorder, the quantum n ...
Quantum Factorization of 143 on a Dipolar
... Hamiltonians. In this way, the ground state of Hp encodes the two factors that satisfy all the bitwise equations and is the answer to our factoring problem. Thus the spectrum of Hp will not scale with N but log2 N. However, Schaller and Schützhold’s scheme [17] need at least 14 qubits to factor the ...
... Hamiltonians. In this way, the ground state of Hp encodes the two factors that satisfy all the bitwise equations and is the answer to our factoring problem. Thus the spectrum of Hp will not scale with N but log2 N. However, Schaller and Schützhold’s scheme [17] need at least 14 qubits to factor the ...
