Entanglement and its Role in Shor`s Algorithm
... simulate even if its qubits are not entangled, and it is not known whether such states may be used to perform efficient quantum computation. Parker and Plenio [7] have presented a version of Shor’s algorithm using only one pure qubit, the rest may start in any mixed state. They found that entangleme ...
... simulate even if its qubits are not entangled, and it is not known whether such states may be used to perform efficient quantum computation. Parker and Plenio [7] have presented a version of Shor’s algorithm using only one pure qubit, the rest may start in any mixed state. They found that entangleme ...
Calculating Floquet states of large quantum systems: A
... where T is Dyson’s time-ordering operator. This operator propagates the system over the period T of modulations, while the corresponding time-periodic Floquet states form a timeperiodic orthogonal basis spanning the system Hilbert space [9, 10]. The structure of the unitary Floquet matrix, and thus ...
... where T is Dyson’s time-ordering operator. This operator propagates the system over the period T of modulations, while the corresponding time-periodic Floquet states form a timeperiodic orthogonal basis spanning the system Hilbert space [9, 10]. The structure of the unitary Floquet matrix, and thus ...
Photoemission studies of quantum well states in thin films
... was clear but the quantum well peaks were very broad, again due to ®lm roughness. Later work, however, clearly established the importance of quantum size effects in ®lms [19±25]. The argument that photoemission senses only the top few atomic layers and is therefore insensitive to the ®lm thickness i ...
... was clear but the quantum well peaks were very broad, again due to ®lm roughness. Later work, however, clearly established the importance of quantum size effects in ®lms [19±25]. The argument that photoemission senses only the top few atomic layers and is therefore insensitive to the ®lm thickness i ...
Quantum Algorithms for Estimating Gauss Sums and Calculating
... Usually, we would express the elements of the finite field Fpr as r-dimensional vectors in Fp with a basis {B1 , . . . , Br }. If Tr(Bi Bj ) = δij for all i, j, then we call this basis self-dual. If p is even, or if both p and r are odd, then Fpr has a self-dual basis. If p is odd and r is even then ...
... Usually, we would express the elements of the finite field Fpr as r-dimensional vectors in Fp with a basis {B1 , . . . , Br }. If Tr(Bi Bj ) = δij for all i, j, then we call this basis self-dual. If p is even, or if both p and r are odd, then Fpr has a self-dual basis. If p is odd and r is even then ...
Exact quantum query complexity
... We show that exact quantum query complexity is richer than just computing parities. We present some new examples of total boolean functions f such that QE (f ) is a constant multiple of D(f ) (between 1/2 and 2/3). We show that these separations cannot be obtained by just computing parities of pairs ...
... We show that exact quantum query complexity is richer than just computing parities. We present some new examples of total boolean functions f such that QE (f ) is a constant multiple of D(f ) (between 1/2 and 2/3). We show that these separations cannot be obtained by just computing parities of pairs ...
quantum transport phenomena of two
... the famous Moore’s law. At the beginning of microelectronics, transistors, diodes and digital integrated circuits which were typically made from semiconductor materials, emerged. Later on, nanoelectronics, nanotechnology and related disciplines have also appeared. The current study focuses on semico ...
... the famous Moore’s law. At the beginning of microelectronics, transistors, diodes and digital integrated circuits which were typically made from semiconductor materials, emerged. Later on, nanoelectronics, nanotechnology and related disciplines have also appeared. The current study focuses on semico ...
Entanglement Entropy
... where α is unknown. A spin function like the one just written, or in general a function like ψ = aχ+ + bχ− (where a and b are fixed complex numbers satisfying |a|2 +|b|2 = 1), describe1 an electron spin oriented in a particular direction n = n (θ, ϕ) with θ = 2 arccos |a|, ϕ = arg b − arg a. This me ...
... where α is unknown. A spin function like the one just written, or in general a function like ψ = aχ+ + bχ− (where a and b are fixed complex numbers satisfying |a|2 +|b|2 = 1), describe1 an electron spin oriented in a particular direction n = n (θ, ϕ) with θ = 2 arccos |a|, ϕ = arg b − arg a. This me ...
Interference with correlated photons: Five quantum mechanics
... concerns.2 In this article we describe five table-top experiments that involve the interference of photons detected by a counting apparatus. The experiments involve photons passing through an interferometer, where alternative paths can be made distinguishable or indistinguishable. These experiments ...
... concerns.2 In this article we describe five table-top experiments that involve the interference of photons detected by a counting apparatus. The experiments involve photons passing through an interferometer, where alternative paths can be made distinguishable or indistinguishable. These experiments ...
5.3 Atomic Emission Spectra and the Quantum Mechanical Model
... Atomic Emission Spectra A prism separates light into the colors it contains. White light produces a rainbow of colors. ...
... Atomic Emission Spectra A prism separates light into the colors it contains. White light produces a rainbow of colors. ...
J. Phys. Chem. B 106, 8271, 2002
... and full quantum mechanical results is presented for the total and partial photodissociation cross sections, as well as for their corresponding survival amplitudes associated with the |00+〉, |40-〉, and |31-〉 initial states of H2O, and the |00+〉, |01-〉, and |10-〉 initial states of DOH. The comparison ...
... and full quantum mechanical results is presented for the total and partial photodissociation cross sections, as well as for their corresponding survival amplitudes associated with the |00+〉, |40-〉, and |31-〉 initial states of H2O, and the |00+〉, |01-〉, and |10-〉 initial states of DOH. The comparison ...
International Journal of Mathematics, Game Theory and Algebra
... continuous in the present note. For various activation functions σ, it has been proved in a number of papers that one can approximate well to a given continuous function from the set of functions of the form (1) ( r is not fixed! ) over any compact subset of Rn . In other words, the set M (σ) = span ...
... continuous in the present note. For various activation functions σ, it has been proved in a number of papers that one can approximate well to a given continuous function from the set of functions of the form (1) ( r is not fixed! ) over any compact subset of Rn . In other words, the set M (σ) = span ...
Implementation of a Toffoli gate with superconducting circuits
... acting on the target qubit as shown in Fig. 1b. A CCPHASE gate leads to a phase shift of p for state j1æ of the target qubit if and only if the control qubits are in state j01æ. In other words, this corresponds to a sign change of only one of the eight computational three-qubit basis states: j011æ « ...
... acting on the target qubit as shown in Fig. 1b. A CCPHASE gate leads to a phase shift of p for state j1æ of the target qubit if and only if the control qubits are in state j01æ. In other words, this corresponds to a sign change of only one of the eight computational three-qubit basis states: j011æ « ...
Intercollegiate Modules 2015/16
... Each course has a code number used by the Intercollegiate MSci board, shown at the left hand side. Colleges use local codes for the courses they teach. The number is usually the same as the MSci code, but some are different; beware! All courses are a half course unit (15 credits). In QMUL language, ...
... Each course has a code number used by the Intercollegiate MSci board, shown at the left hand side. Colleges use local codes for the courses they teach. The number is usually the same as the MSci code, but some are different; beware! All courses are a half course unit (15 credits). In QMUL language, ...
Polynomial-Time Algorithms for Prime Factorization and Discrete
... the same polynomial growth in precision does not appear to confer extra computing power to classical mechanics, although allowing exponential growth in precision may [Hartmanis and Simon, 1974; Vergis, Steiglitz, and Dickinson, 1986]. As far as we know, the precision possible in quantum state manipu ...
... the same polynomial growth in precision does not appear to confer extra computing power to classical mechanics, although allowing exponential growth in precision may [Hartmanis and Simon, 1974; Vergis, Steiglitz, and Dickinson, 1986]. As far as we know, the precision possible in quantum state manipu ...