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Fourier states are multi-qubit registers that facilitate phase rotations in fault-tolerant quantum computing. We propose distillation protocols for constructing the fundamental, n-qubit Fourier state with error O(2 −n) at a cost of O(n log n) Toffoli gates and Clifford gates, or any arbitrary Fourier state using O(n 2) gates. We analyze these protocols with(More)
State distillation is the process of taking a number of imperfect copies of a particular quantum state and producing fewer better copies. Until recently, the lowest overhead method of distilling states produced a single improved [formula: see text] state given 15 input copies. New block code state distillation methods can produce k improved [formula: see(More)
We present a quantum algorithm for simulating the dynamics of a first-quantized Hamiltonian in real space based on the truncated Taylor series algorithm. We avoid the possibility of singularities by applying various cutoffs to the system and using a high-order finite difference approximation to the kinetic energy operator. We find that our algorithm can(More)
We analyze how the performance of a quantum-repeater network depends on the protocol employed to distribute entanglement, and we find that the choice of repeater-to-repeater link protocol has a profound impact on communication rate as a function of hardware parameters. We develop numerical simulations of quantum networks using different protocols, where the(More)
Two different conceptual frameworks, profit maximization and institutional theory, have been used to analyze why firms voluntarily undertake environmental management. The neoclassical economic approach centers on rationalizing environmental management decisions based on their potential to decrease cost, increase revenue and improve the manager's utility.(More)
Entanglement between stationary quantum memories and photonic qubits is crucial for future quantum communication networks. Although high-fidelity spin-photon entanglement was demonstrated in well-isolated atomic and ionic systems, in the solid-state, where massively parallel, scalable networks are most realistically conceivable, entanglement fidelities are(More)
An extensive economics literature has examined business environmental management to identify characteristics and external institutional stakeholder pressures that influence management decisions. Frequently, it is assumed that profit pursuit is the goal, and organizations subject to the same pressures respond similarly. Studies have identified a narrow set(More)
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