Realization of Kraus operators and POVM measurements using a duality quantum computer

Liu, Yang; Cui, Jingxin

doi:10.1007/s11434-014-0334-2

Cited by 19 publications

(8 citation statements)

References 25 publications

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“…A deterministic method to perform a general POVM can be implemented using Neumark's dilation theorem [18,19], which states that a POVM of n elements can be performed as a projective measurement in a n-dimensional space. In reference [20] it is shown that this method can be realized in a duality quantum computer.…”

Section: Introductionmentioning

confidence: 99%

Implementation of a general single-qubit positive operator-valued measure on a circuit-based quantum computer

Yordanov

Barnes

2019

Phys. Rev. A

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We derive a deterministic protocol to implement a general single-qubit POVM on near-term circuit-based quantum computers. The protocol has a modular structure, such that an n-element POVM is implemented as a sequence of (n − 1) circuit modules. Each module performs a 2-element POVM. Two variations of the protocol are suggested, one optimal in terms of number of ancilla qubits, the other optimal in terms of number of qubit gate operations and quantum circuit depth. We use the protocol to implement 2-and 3-element POVMs on two publicly available quantum computing devices. The results we obtain suggest that implementing non-trivial POVMs could be within the reach of the current noisy quantum computing devices.I.

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Section: Introductionmentioning

confidence: 99%

Implementation of a general single-qubit positive operator-valued measure on a circuit-based quantum computer

Yordanov

Barnes

2019

Phys. Rev. A

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“…DQC also provides a realistic interpretation of quantum mechanics [30], and in the description of processes of foundations of quantum mechanics, for instance, the delayed-choice experiment [30][31][32][33][34][35], parity-time symmetric system [36][37][38] and others [39][40][41].…”

Section: Introductionmentioning

confidence: 99%

Duality Quantum Computing with Subwave Projections

Hu,

Long

2018

Preprint

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Duality quantum computing (DQC) offers the use of linear combination of unitaries (LCU), or generalized quantum gates, in designing quantum algorithms. DQC contains wave divider and wave combiner operations. The wave function of a quantum computer is split into several subwaves after the wave division operation. Then different unitary operations are performed on different subwaves in parallel. A quantum wave combiner combines the subwaves into a final wave function, so that a linear combination of the unitaries are performed on the final state. In this paper, we study of the properties of duality quantum computer with projections on subwaves. In subwave-projection DQC (SWP-DQC), we can realize the linear combinations of non-unitaries, and this not only gives further flexibility for designing quantum algorithms, but also offers additional speedup in the expected time complexity. Specifically, SWP-DQC offers an O(M) acceleration over DQC with only final-wave-projection in the mean time complexity, where M is the number of projections. As an application, we show that the ground state preparation algorithm recently proposed by Ge, Tura, and Cirac is actually an DQC algorithm, and we further optimized the algorithm using SWP-DQC, which can save up to log 2 N qubits compared DQC without subwave projection, where N is the dimension of the system's Hilbert Space.

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“…The PT -symmetric Hamiltonians have recently been experimentally realized. [4][5][6][7][8][9][10] One of the most surprising results is that the evolution time from an initial state |φ i to a final state |φ f can be arbitrarily short among PT -symmetric Hamiltonians under the same energy constraints, which will be very useful in quantum computing. [11] On the other hand, as one of the fundamental ideas of quantum theory, the uncertainty principle reveals that the characteristics of quantum mechanics distinctively differ from those of the classical world.…”

Section: Introductionmentioning

confidence: 99%

Reduction of entropic uncertainty in entangled qubits system by local 𝒫𝒯-symmetric operation

et al. 2015

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We investigate the quantum-memory-assisted entropic uncertainty for an entangled two-qubit system in a local quantum noise channel with PT -symmetric operation performing on one of the two particles. Our results show that the quantum-memory-assisted entropic uncertainty in the qubits system can be reduced effectively by the local PT -symmetric operation. Physical explanations for the behavior of the quantum-memory-assisted entropic uncertainty are given based on the property of entanglement of the qubits system and the non-locality induced by the re-normalization procedure for the non-Hermitian PT -symmetric operation.

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Realization of Kraus operators and POVM measurements using a duality quantum computer

Cited by 19 publications

References 25 publications

Implementation of a general single-qubit positive operator-valued measure on a circuit-based quantum computer

Implementation of a general single-qubit positive operator-valued measure on a circuit-based quantum computer

Duality Quantum Computing with Subwave Projections

Reduction of entropic uncertainty in entangled qubits system by local 𝒫𝒯-symmetric operation

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