Direct measurement of the polynomial invariant of degree 2

Yahyavi, M.; Jafarizdeh, Mohammad Ali; Heshmati, A.; Karimi, N.

doi:10.1016/j.cjph.2021.11.020

Cited by 2 publications

(2 citation statements)

References 23 publications

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“…Quantum circuit of concurrece Yahyavi et al [23] devised a practical protocol for directly measuring the polynomial invariant of degree 2 (PID-2) of an even N-qubit pure state. In their protocol, they introduced an algorithm that implemented the entanglement measure, where the measure for a pure two-qubit state is concurrence, through a quantum circuit.…”

Section: Entanglement Measurementioning

confidence: 99%

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Implementation and measurement of quantum entanglement using IBM quantum platforms

Karimi,

Navid Elyasi,

Yahyavi

2024

Phys. Scr.

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The ease of simulating quantum physics using numerical tools is attributed to the linearity of quantum physics algebra.Conversely, as the size of quantum systems grows, the demand for classical resources in simulation escalates exponentially.Consequently, ensuring sufficient accuracy is crucial for optimizing simulation tool performance. Quantum entanglement,a pivotal phenomenon in quantum information underpinning various communication protocols, quantum algorithms, andcryptography, is profoundly influenced by system size, leading to an exponential increase in the required classical resources asthe quantum system scales up. In this context, IBM’s quantum platforms stand as essential simulation tools for achieving highlyaccurate measurements of entanglement. This article leverages the Qiskit package to delve into the exploration of one suchmeasurement aspect of entanglement, namely, concurrence, within pure two-qubit quantum systems.

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Section: Entanglement Measurementioning

confidence: 99%

“…Additionally, a defined entanglement measure for even-N qubits quantum states is presented in [22], denoted as the polynomial invariant of degree 2 (PID-2). In [23], a comprehensive protocol for measuring PID-2 in any arbitrary even-N qubit pure state is outlined, utilizing quantum circuits to gauge the entanglement.…”

Section: Introductionmentioning

confidence: 99%

Implementation and measurement of quantum entanglement using IBM quantum platforms

Karimi,

Navid Elyasi,

Yahyavi

2024

Phys. Scr.

Self Cite

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Implementation of the entanglement measure in quantum gates language

Karimi

Yahyavi

2022

Mod. Phys. Lett. A

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Entanglement is an important resource for quantum technologies that allow us to go beyond the classical world. Quantum systems can be entangled in various ways. Also, the degree of entanglement between the subsystems of a quantum system can be calculated in different ways. In our recent paper [Prog. Theor. Exp. Phys. (2022)], we directly measure the three-tangle of a pure three-qubit quantum state. In this paper, we extend this method to pure N-qubit quantum states (N is any odd number greater than 1) by considering polynomial invariant of degree 4 as a measure of entanglement. In this algorithm, we use quantum gates and output probabilities to calculate polynomial invariant of degree 4. The importance of this method lies in the possibility of experimental implementation of quantum calculations in the language of quantum gates.

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Direct measurement of the polynomial invariant of degree 2

Cited by 2 publications

References 23 publications

Implementation and measurement of quantum entanglement using IBM quantum platforms

Implementation and measurement of quantum entanglement using IBM quantum platforms

Implementation of the entanglement measure in quantum gates language

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