Indexed cluster of controlled computational operators

Raychev, Nikolay

doi:10.14299/ijser.2015.08.005

Cited by 5 publications

(6 citation statements)

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“…The separable two-qubit states S form a convex subset A. It is common knowledge that S has non-vanishing volume [20] [21]. We designate the set of entangled states with Е. i.e.…”

Section: Resultsmentioning

confidence: 99%

“…Therefore, it is very desirable to be found a method, which detects the entanglement without full diagnostics of the state by measuring only the single-copy observables. The searching of such a method is very active in the recent years with both theoretical simulations and the realization of experiments, leading to positive results in the implementation of such an attractive task [13] [14].…”

Section: Introductionmentioning

confidence: 99%

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Fundamental Limit for Universal Entanglement Detection

Raychev¹

2016

JAMP

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The entanglement, one of the central mysteries of the quantum mechanics, plays a significant role in a variety of applications of the quantum information theory. A natural question in theoretical and experimental importance is whether it is possible to detect a universal entanglement without full diagnostics. The diagnostics relies on a set of quantum trajectories and their records from measurements. This model reflects the probability that each of the measurements may be damaged from interference and decoherence, and may also be associated with recording of continuous signals for an end-time period. The goal is then to retrieve the quantum state such as it had been in the beginning of this measurement process. The proposed solution relies on explicit expression of the probability function through effective matrices contained in the quantum approximation and solutions of ad-joint quantum filters. In this article, we prove а no-go theorem, which outlines this possibility for non-adaptive schemes, which use only single-copy measurements. We also examine in detail а previously conducted experiment, for which it is claimed that detects the entanglement of two-qubit states through adaptive single-copy measurements without full diagnostics. With the conduct of the experiment and the analysis of the data, we demonstrate that the information collected is really sufficient to reconstruct the state. These results reveal a fundamental limit of the single-copy measurements upon the entanglement detection, and provide a common framework for learning the detection of other interesting properties of the quantum states, such as the positivity of partial transposition and the k-symmetric-extendibility. A B A B J J J J

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“…The separable two-qubit states S form a convex subset A. It is common knowledge that S has non-vanishing volume [20] [21]. We designate the set of entangled states with Е. i.e.…”

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Fundamental Limit for Universal Entanglement Detection

Raychev¹

2016

JAMP

Self Cite

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“…We focus on the implementation of general operators with one qubit, as well as with controlled operators with two and three qubits (including, controlled-NOT operator, which are known as universal (14). The operation of quantum single-qubit operator k can be represented with a unitary transformation:…”

Section: Work With Complex Numbersmentioning

confidence: 99%

Interactive Quantum Development Environment (IQDE)

Raychev¹

2016

JQIS

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This report presents a second version of the Interactive Quantum Development Environment (IQDE), virtualized parallel simulation platform for optimized testing of quantum software. IQDE is an interactive quantum simulator intended for implementation of a classical computer that can simulate numerous controlled and time-dependent operations. The research presents different relations between the operations that can be typically simulated. The virtualized simulation platform carries out numerous single-node and multi-node optimizations, including vectorization, parallelization, cache sharing, as well as overlapping of the computations with the communication. A common strategy for modeling for shared memory is implemented, as well as realistic parallel simulation with cluster management of the parallelization. А detailed analysis of the implementation is performed in order to be demonstrated that the simulator achieves good operation and high efficiency of the hardware, which is only limited by the available memory and the bandwidth of the machine.

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“…In the following sections the computational model will be discussed and described in [21]- [23]. Then we explain how to use the circuit in an iteration algorithm for estimation of the phase.…”

Section: Introductionmentioning

confidence: 99%

“…Each block operation forms a different row of the matrix[21]-[23]. Notice: The black dot signs are used for the elements that are insignificant in the overall scheme.Here, each submatrix V i have the ithe row from the given matrix as its first row in the following form…”

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confidence: 99%