Invitation to Local Quantum Physics
... Given a quantum field, Φα , the corresponding local algebras F(O) are usually defined by taking bounded functions of the unbounded field operators Φα (f )’s with support of f contained in O. This can be mathematically dicy, but in the simplest situations the Φα (f ) are (essentially) self-adjoint f ...
... Given a quantum field, Φα , the corresponding local algebras F(O) are usually defined by taking bounded functions of the unbounded field operators Φα (f )’s with support of f contained in O. This can be mathematically dicy, but in the simplest situations the Φα (f ) are (essentially) self-adjoint f ...
The quantum query complexity of AC 0 - Washington
... function evaluates to the same value on a pair of inputs, then the corresponding entry in the adversary matrix is set to 0. Our proof uses the original adversary method [7] and does not require the machinery developed in the subsequent work. The methods above have been used to show that some fairly ...
... function evaluates to the same value on a pair of inputs, then the corresponding entry in the adversary matrix is set to 0. Our proof uses the original adversary method [7] and does not require the machinery developed in the subsequent work. The methods above have been used to show that some fairly ...
Quantum Gaussian Noise - Research Laboratory of Electronics
... frequency ω rad/s, it can then be characterized by a positive-frequency, complex-field envelope E(t) such that P (t) ≡ h̄ω|E(t)|2 is the short-time-average power falling on the sensitive region of the detector at time t. Here, h̄ is Planck’s constant divided by 2π, and so h̄ω is the photon energy at ...
... frequency ω rad/s, it can then be characterized by a positive-frequency, complex-field envelope E(t) such that P (t) ≡ h̄ω|E(t)|2 is the short-time-average power falling on the sensitive region of the detector at time t. Here, h̄ is Planck’s constant divided by 2π, and so h̄ω is the photon energy at ...
Quantum Communications in the Maritime Environment
... same value. Prior to measurement, however, the superposition can be non-destructively transformed in a variety of ways that permit the relative probabilities of measuring a classical 0 or 1 to be controlled. Another critical property of a quantum superposition is that it cannot be copied/cloned. Unl ...
... same value. Prior to measurement, however, the superposition can be non-destructively transformed in a variety of ways that permit the relative probabilities of measuring a classical 0 or 1 to be controlled. Another critical property of a quantum superposition is that it cannot be copied/cloned. Unl ...
A quantum logical and geometrical approach to the study of
... Note that as we are using Dirac notation, we may write 具xi 兩 y i典 instead of 共兩xi典 , 兩y i典兲. The completion of 丢 Hi in the associated norm is the tensor product of the Hilbert spaces 丢 iHi. Thus, we see that the tensor product of Hilbert spaces is in essence a multilinear extension of the direct pro ...
... Note that as we are using Dirac notation, we may write 具xi 兩 y i典 instead of 共兩xi典 , 兩y i典兲. The completion of 丢 Hi in the associated norm is the tensor product of the Hilbert spaces 丢 iHi. Thus, we see that the tensor product of Hilbert spaces is in essence a multilinear extension of the direct pro ...
Coherent States
... Here I digress from work in progress—namely, a review of a paper by C. Y. She & H. Heffner1 , which was the first of several papers inspired by E. Arthurs & J. L. Kelly’s “On the simultaneous measurement of a pair of conjugate observables” (BSTJ 44, 725 (1965)); it is my intention to incorporate tha ...
... Here I digress from work in progress—namely, a review of a paper by C. Y. She & H. Heffner1 , which was the first of several papers inspired by E. Arthurs & J. L. Kelly’s “On the simultaneous measurement of a pair of conjugate observables” (BSTJ 44, 725 (1965)); it is my intention to incorporate tha ...
Experimental Optimal Cloning of Four
... Eq. (1). The cloning fidelity is F ¼ pð’ j ’Þ. The experimental results obtained when cloning all states of the logical basis are reported in Figs. 2(b) and 2(c). The measured values of the fidelity, as well as their average value F I ¼ ð0:708 0:007Þ, are all in good agreement with the theoretica ...
... Eq. (1). The cloning fidelity is F ¼ pð’ j ’Þ. The experimental results obtained when cloning all states of the logical basis are reported in Figs. 2(b) and 2(c). The measured values of the fidelity, as well as their average value F I ¼ ð0:708 0:007Þ, are all in good agreement with the theoretica ...
Generation of nonclassical states from thermal radiation
... The reconstructed Wigner functions for two thermal states with n̄ = 0.093 and n̄ = 1.1 detected in the signal channel using the reference (un-synchronized) pulse are shown in Fig. 4. When the trigger-synchronized homodyne measurements are used to reconstruct the state we expect to observe the single ...
... The reconstructed Wigner functions for two thermal states with n̄ = 0.093 and n̄ = 1.1 detected in the signal channel using the reference (un-synchronized) pulse are shown in Fig. 4. When the trigger-synchronized homodyne measurements are used to reconstruct the state we expect to observe the single ...
Why Quantum Computing? - Quantum Physics and Quantum
... evaluations! - Difference between quantum parallelism and classical randomized algorithms ...
... evaluations! - Difference between quantum parallelism and classical randomized algorithms ...
S - at www.arxiv.org.
... lies in plane S orthogonal to the axis of rotation n . An observer looks at the rotating coin as shown in Fig.2.1. The coin sides are, for example, painted in two different colors (“heads” and “tails”). The simplest result of observation at any instance of time is what color the observer does (or do ...
... lies in plane S orthogonal to the axis of rotation n . An observer looks at the rotating coin as shown in Fig.2.1. The coin sides are, for example, painted in two different colors (“heads” and “tails”). The simplest result of observation at any instance of time is what color the observer does (or do ...
SUPERCONDUCTING QUBITS II: DECOHERENCE F.K. Wilhelm , M.J. Storcz and U. Hartmann
... which conserves entropy. Indeed, also the CPT theorem of relativistic quantum mechanics (Sakurai, 1967) states, that for each quantum system it is possible to find a counterpart (with inversed parity and charge) whose time arrow runs backwards. The apparent contradiction between microreversibility — ...
... which conserves entropy. Indeed, also the CPT theorem of relativistic quantum mechanics (Sakurai, 1967) states, that for each quantum system it is possible to find a counterpart (with inversed parity and charge) whose time arrow runs backwards. The apparent contradiction between microreversibility — ...
Dynamical Phase Transitions in Quantum Systems
... the eigenfunctions k may be defined. From (15) follows ...
... the eigenfunctions k may be defined. From (15) follows ...
A MINUS SIGN THAT USED TO ANNOY ME BUT
... Comment 21. Given a diagram of L, n(L) is the number of right going cups, plus the number of right going caps, plus the number of full (360 degree) twists of the framing. Alternatively, as is done in [O], n(L) can be defined in terms of the number of components of L and the “framing number” of each ...
... Comment 21. Given a diagram of L, n(L) is the number of right going cups, plus the number of right going caps, plus the number of full (360 degree) twists of the framing. Alternatively, as is done in [O], n(L) can be defined in terms of the number of components of L and the “framing number” of each ...
The Dirac equation
... Dirac found the equation for free relativistic fermions under the requirement : 1) that the wave-equation – as in case of the Schrödinger equation – should be of 1st order in / t / x0 and 2) to allow for a continuity equation with a positive density * . 3) Relativistic covariance (with respect to th ...
... Dirac found the equation for free relativistic fermions under the requirement : 1) that the wave-equation – as in case of the Schrödinger equation – should be of 1st order in / t / x0 and 2) to allow for a continuity equation with a positive density * . 3) Relativistic covariance (with respect to th ...
Brownian functionals in Physics and Computer Science
... on the statistical properties of functionals of one-dimensional Brownian motion, with special emphasis on their applications in physics and computer science. If x(τ) represents a Brownian motion, a Brownian functional over a fixed time interval [0, t] is simply defined as T = ∫ t0 U(x(τ))dτ, where U ...
... on the statistical properties of functionals of one-dimensional Brownian motion, with special emphasis on their applications in physics and computer science. If x(τ) represents a Brownian motion, a Brownian functional over a fixed time interval [0, t] is simply defined as T = ∫ t0 U(x(τ))dτ, where U ...