58 research outputs found

    Pure dephasing in flux qubits due to flux noise with spectral density scaling as 1/fα1/ f^\alpha

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    For many types of superconducting qubits, magnetic flux noise is a source of pure dephasing. Measurements on a representative dc superconducting quantum interference device (SQUID) over a range of temperatures show that SΦ(f)=A2/(f/1Hz)αS_\Phi(f) = A^2/(f/1 \hbox{Hz})^\alpha, where SΦS_\Phi is the flux noise spectral density, AA is of the order of 1 μΦ0 Hz−1/2\mu\Phi_0 \, \hbox{Hz}^{-1/2} and 0.61≤α≤0.950.61 \leq \alpha \leq 0.95; Φ0\Phi_{0} is the flux quantum. For a qubit with an energy level splitting linearly coupled to the applied flux, calculations of the dependence of the pure dephasing time τϕ\tau_\phi of Ramsey and echo pulse sequences on α\alpha for fixed AA show that τϕ\tau_\phi decreases rapidly as α\alpha is reduced. We find that τϕ\tau_\phi is relatively insensitive to the noise bandwidth, f1≤f≤f2f_1 \leq f \leq f_2, for all α\alpha provided the ultraviolet cutoff frequency f2>1/τϕf_2 > 1/\tau_\phi. We calculate the ratio τϕ,E/τϕ,R\tau_{\phi,E} / \tau_{\phi,R} of the echo (EE) and Ramsey (RR) sequences, and the dependence of the decay function on α\alpha and f2f_2. We investigate the case in which SΦ(f0)S_\Phi(f_0) is fixed at the "pivot frequency" f0≠1f_0 \neq 1 Hz while α\alpha is varied, and find that the choice of f0f_0 can greatly influence the sensitivity of τϕ,E\tau_{\phi,E} and τϕ,R\tau_{\phi,R} to the value of α\alpha. Finally, we present calculated values of τϕ\tau_\phi in a qubit corresponding to the values of AA and α\alpha measured in our SQUID.Comment: 7 pages, 8 figures, 1 tabl

    Oxford Handbook of the Corporation

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    The Oxford Handbook of the Corporation assesses the contemporary relevance, purpose, and performance of the corporation. The corporation is one of the most significant, if contested, innovations in human history, and the direction and effectiveness of corporate law, corporate governance, and corporate performance are being challenged as never before. Continuously evolving, the corporation as the primary instrument for wealth generation in contemporary economies demands frequent assessment and reinterpretation. The focus of this work is the transformative impact of innovation and change upon corporate structure, purpose, and operation. Corporate innovation is at the heart of the value creation process in increasingly internationalized and competitive market economies, and corporations today are embedded in a world of complex global supply chains and rising state and state-directed capitalism. In questioning the fundamental purpose and performance of the corporation, this Handbook continues a tradition commenced by Berle and Means, and contributed to by generations of business scholars. What is the corporation and what is it becoming? How do we define its form and purpose and how are these changing? To whom is the corporation responsible, and who should judge the ultimate performance of corporations? By investigating the origins, development, strategies, and theories of corporations, this volume addresses such questions to provide a richer theoretical account of the topic

    Uber das Kopulationsverhalten vonProtosiphon (Chlorophyceae)

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