Analytic view on coupled single-electron lines

Pomorski, Krzysztof; Giounanlis, Panagiotis; Blokhina, Elena; Leipold, Dirk; Staszewski, Robert Bogdan

doi:10.1088/1361-6641/ab4f40

Cited by 17 publications

(12 citation statements)

References 14 publications

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“…Single electron devices in semiconductor quantum dots [1] becomes quite promising way of implementation of qubit and quantum computation as well as quantum communication and it was being confirmed experimentally by [2], [3]. This is particularly attractive perspective in the framework of CMOS technology [7], [5], [4], [6], [8], [9], [10], [17], [15], [19], [22]. In case of small field effect transistor the source and drain are playing the role of quantum dots, whose connectivity is regulated by voltage applied on the top gate that is in-between as depicted in Fig.…”

Section: Philosophy Behind Charged Based Classical and Quantum Logicmentioning

confidence: 99%

Electrostatically interacting Wannier qubits in curved space

Pomorski¹

2021

Preprint

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Derivation of tight-binding model from Schrödinger formalism for various topologies of position-based semiconductor qubits is presented in this work in case of static and time-dependent electric fields. Simplistic tight-binding model allows for description of single-electron devices at large integration scale. The case of two electrostatically Wannier qubits (that are also known as position based qubits) in Schrödinger model is presented with omission spin degrees of freedom. The concept of programmable quantum matter can be implemented in the chain of coupled semiconductor quantum dots. Indeed highly integrated and developed cryogenic CMOS nanostructures can be mapped to coupled quantum dots, whose connectivity can be controlled by voltage applied across transistor gates as well as external magnetic field. Using anti-correlation principle arising from Coulomb repulsion interaction between electrons one can implement classical and quantum inverter (Classical/Quantum Swap gate) and many other logical gates. This anti-correlation will be weaken due to the fact of quantumness of physical process is bringing coexistence of correlation and anti-correlation at the same time. One of the central results presented in this work relies on the emergence of dissipation processes during smooth bending of semiconductor nanowires both in the case of classical and quantum picture. Presented results give the base for physical description of electrostatic Q-Swap gate of any topology using open loop nanowires, whose functionality can be programmed. We observe strong localization of wavepacket due to nanowire bending. Therefore it is not always necessary to built barrier between two nanowires to obtain two quantum dot system. On another hand the obtained results can be mapped to problem of electron in curved space, so they can be expressed by programmable position-dependent metric embedded in Schrödinger equation. Indeed semiconductor quantum dot system is capable of mimicking the curved space what provides bridge between fundamental and applied science present in implementation of single-electron devices.

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Section: Philosophy Behind Charged Based Classical and Quantum Logicmentioning

confidence: 99%

Electrostatically interacting Wannier qubits in curved space

Pomorski¹

2021

Preprint

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“…Let us start from equations of motion for 2 electrostatically coupled position based qubits as by [16] expressed by minimalistic tight-binding model and we have…”

Section: Mapping Quantum Tight-binding Model To Stochastic Finite Sta...mentioning

confidence: 99%

Equivalence between classical epidemic model and non-dissipative and dissipative quantum tight-binding model

Pomorski

2020

Preprint

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The equivalence between classical epidemic model and non-dissipative and dissipative quantum tight-binding model is derived. Classical epidemic model can reproduce the quantum entanglement emerging in the case of electrostatically coupled qubits described by von-Neumann entropy both in non-dissipative and dissipative case. The obtained results shows that quantum mechanical phenomena might be almost entirely simulated by classical statistical model. It includes the quantum like entanglement and superposition of states. Therefore coupled epidemic models expressed by classical systems in terms of classical physics can be the base for possible incorporation of quantum technologies and in particular for quantum like computation and quantum like communication. The classical density matrix is derived and described by the equation of motion in terms of anticommutator. Existence of Rabi like oscillations is pointed in classical epidemic model. Furthermore the existence of Aharonov-Bohm effect in quantum systems can also be reproduced by the classical epidemic model. Every quantum system made from quantum dots and described by simplistic tight-binding model by use of position-based qubits can be effectively described by classical model with very specific structure of S matrix that has twice bigger size as it is the case of quantum matrix Hamiltonian. Obtained results partly question fundamental and unique character of quantum mechanics and are placing ontology of quantum mechanics much in the framework of classical statistical physics what can bring motivation for emergence of other fundamental theories bringing suggestion that quantum mechanical is only effective and phenomenological but not fundamental picture of reality.

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“…Single-electron semiconductor devices are now actively researched for their potential in realizing quantum computers (QC), and especially for implementing single-chip CMOS QCs that are fully integrated with their surrounding electronics [1]. They were studied by Fujisawa [2], Petta [3], Leipold [4], Giounanlis [5], Pomorski [6], [18], [7], [8], [21] and many others. On the other hand, one of the most successful models in condensed matter physics is Hubbard model and its special case known as tight-binding model [9].…”

Section: Technological Motivationmentioning

confidence: 99%

Analytical view on N bodies interacting with quantum cavity in tight-binding model

Pomorski

2020

Preprint

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Dynamics of N bodies interacting with quantum cavity is presented. The rotating frame approximation is not used and obtained solutions are the most basic in the framework of generalized Jaynes-Cummings tight-binding model. All presented solutions are entirely analytical and are expressed in terms of elementary functions. Presented scheme can easily be generalized into N bodies (qubits) with M energetic levels interacting with quantum electromagnetic cavity with K energetic levels. Presented framework can be used for construction of software modeling quantum communication between semiconductor single-electron position-based qubits.

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Analytic view on coupled single-electron lines

Cited by 17 publications

References 14 publications

Electrostatically interacting Wannier qubits in curved space

Electrostatically interacting Wannier qubits in curved space

Equivalence between classical epidemic model and non-dissipative and dissipative quantum tight-binding model

Analytical view on N bodies interacting with quantum cavity in tight-binding model

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