Structure and catalytic properties of dealuminated modified zeolites Y

Kitaev, L. E.; Bukina, Z. M.; Yushchenko, V. V.; Nesterenko, N. S.

doi:10.1134/s0965544106060041

Cited by 20 publications

(31 citation statements)

References 4 publications

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“…The technique uses selective excitation of subsystems, and is easily scalable to higher qubit systems provided the spectrum is well resolved. Since the non-adiabatic geometric phase does not depend on the details of the path traversed, it is insusceptible to certain errors yielding inherently fault-tolerant quantum computation [45,46]. The controlled geometric phase gates were also used to implement DJ-algorithm and Grover's search algorithm in a two-qubit system.…”

Section: Discussionmentioning

confidence: 99%

Use of non-adiabatic geometric phase for quantum computing by NMR

Das

Kumar

2005

Journal of Magnetic Resonance

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Geometric phases have stimulated researchers for its potential applications in many areas of science. One of them is fault-tolerant quantum computation. A preliminary requisite of quantum computation is the implementation of controlled logic gates by controlled dynamics of qubits. In controlled dynamics, one qubit undergoes coherent evolution and acquires appropriate phase, depending on the state of other qubits. If the evolution is geometric, then the phase acquired depend only on the geometry of the path executed, and is robust against certain types of errors. This phenomenon leads to an inherently fault-tolerant quantum computation. Here we suggest a technique of using non-adiabatic geometric phase for quantum computation, using selective excitation. In a two-qubit system, we selectively evolve a suitable subsystem where the control qubit is in state |1 , through a closed circuit. By this evolution, the target qubit gains a phase controlled by the state of the control qubit. Using these geometric phase gates we demonstrate implementation of Deutsch-Jozsa algorithm and Grover's search algorithm in a two-qubit system.

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Section: Discussionmentioning

confidence: 99%

Use of non-adiabatic geometric phase for quantum computing by NMR

Das

Kumar

2005

Journal of Magnetic Resonance

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“…It acts as a control qubit. Then apply resonant forward operation on SQUID (3). A single photon is created in the cavity which induces a phase shift of e i π 2 on SQUID (2) through off-resonant operation.…”

Section: Quantum Fourier Transform(qft)mentioning

confidence: 99%

“…For example factorization of large integers [1], searching for an item from disordered data base [2], and phase estimation [3]. Quantum logical gates based on unitary transformations are building blocks of quantum computer.…”

Section: Introductionmentioning

confidence: 99%

Multiqubit quantum phase gate using four-level superconducting quantum interference devices coupled to superconducting resonator

Waseem¹,

Irfan²,

Qamar³

2012

Physica C: Superconductivity

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In this paper, we propose a scheme to realize three-qubit quantum phase gate of one qubit simultaneously controlling two target qubits using four-level superconducting quantum interference devices (SQUIDs) coupled to a superconducting resonator. The two lowest levels |0 and |1 of each SQUID are used to represent logical states while the higher energy levels |2 and |3 are utilized for gate realization. Our scheme does not require adiabatic passage, second order detuning, and the adjustment of the level spacing during gate operation which reduce the gate time significantly. The scheme is generalized for an arbitrary n-qubit quantum phase gate. We also apply the scheme to implement three-qubit quantum Fourier transform.key words: quantum phase gate, superconducting quantum interference devices (SQUIDs), superconducting resonator, quantum Fourier transform PACS numbers: 85.25. Dq, 03.67.Ac

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“…1(c), which is much less demanding and makes the protocol experimentally feasible. Remarkably, this gate-replication scheme also simultaneously acts as a device which adds a control to an arbitrary unknown singlequbit phase gate and converts it to a two-qubit controlled phase gate [10][11][12]. We experimentally implement the gate replication protocol using a linear optical setup, where qubits are encoded into states of single photons.…”

Section: Introductionmentioning

confidence: 99%

“…1(b) can be also interpreted as a scheme for deterministic conversion of an arbitrary single-qubit unitary phase gate U (φ) into a two-qubit controlled unitary gate CU (φ) [10][11][12]. While adding control to an arbitrary unknown single-qubit operation U is known to be impossible [23], this task becomes feasible provided that one of the eigenvalues and eigenstates of the unitary operation is known [10], which is precisely the case of the single-qubit phase gates (1) considered in the present work.…”

Section: Introductionmentioning

confidence: 99%

Experimental replication of single-qubit quantum phase gates

et al. 2016

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We experimentally demonstrate the underlying physical mechanism of the recently proposed protocol for superreplication of quantum phase gates [W. Dür, P. Sekatski, and M. Skotiniotis, Phys. Rev. Lett. 114, 120503 (2015)], which allows to produce up to N 2 high-fidelity replicas from N input copies in the limit of large N . Our implementation of 1 → 2 replication of the single-qubit phase gates is based on linear optics and qubits encoded into states of single photons. We employ the quantum Toffoli gate to imprint information about the structure of an input two-qubit state onto an auxiliary qubit, apply the replicated operation to the auxiliary qubit, and then disentangle the auxiliary qubit from the other qubits by a suitable quantum measurement. We characterize the replication protocol by full quantum process tomography and observe good agreement of the experimental results with theory.

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Structure and catalytic properties of dealuminated modified zeolites Y

Cited by 20 publications

References 4 publications

Use of non-adiabatic geometric phase for quantum computing by NMR

Use of non-adiabatic geometric phase for quantum computing by NMR

Multiqubit quantum phase gate using four-level superconducting quantum interference devices coupled to superconducting resonator

Experimental replication of single-qubit quantum phase gates

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