scholarly journals On the Design of Molecular Excitonic Circuits for Quantum Computing: The Universal Quantum Gates

2019 ◽  
Author(s):  
Maria Castellanos ◽  
Amro Dodin ◽  
Adam Willard

This manuscript presents a theoretical strategy for encoding elementary quantum computing operations into the design of molecular excitonic circuits. Specifically, we show how the action of a unitary transformation of coupled two-level systems can be equivalently represented by the evolution of an exciton in a coupled network of dye molecules. We apply this strategy to identify the geometric parameters for circuits that perform universal quantum logic gate operations. We quantify the design space for these circuits and how their performance is affected by environmental noise.

2019 ◽  
Author(s):  
Maria Castellanos ◽  
Amro Dodin ◽  
Adam Willard

This manuscript presents a theoretical strategy for encoding elementary quantum computing operations into the design of molecular excitonic circuits. Specifically, we show how the action of a unitary transformation of coupled two-level systems can be equivalently represented by the evolution of an exciton in a coupled network of dye molecules. We apply this strategy to identify the geometric parameters for circuits that perform universal quantum logic gate operations. We quantify the design space for these circuits and how their performance is affected by environmental noise.


2020 ◽  
Vol 22 (5) ◽  
pp. 3048-3057 ◽  
Author(s):  
Maria A. Castellanos ◽  
Amro Dodin ◽  
Adam P. Willard

This manuscript presents a strategy for controlling the transformation of excitonic states through the design of circuits made up of coupled organic dye molecules.


2016 ◽  
Vol 56 (4) ◽  
pp. 1023-1038 ◽  
Author(s):  
Zhiqiang Li ◽  
Sai Chen ◽  
Xiaoyu Song ◽  
Marek Perkowski ◽  
Hanwu Chen ◽  
...  

2014 ◽  
Vol 12 (05) ◽  
pp. 1450034 ◽  
Author(s):  
Zhiqiang Li ◽  
Xiaoyu Song ◽  
Marek Perkowski ◽  
Hanwu Chen ◽  
Xiaoxia Feng

Since non-permutative quantum gates have more complex rules than permutative quantum gates, it is very hard to synthesize quantum logic circuits using non-permutative quantum gates, such as controlled-square-root-of-NOT gates (CV∕CV+ gates). In the efficient synthesis algorithm, direct use of quantum non-permutative gates should be avoided. Rather, the key method is to use quantum gates to create new permutative quantum gates that then replace non-permutative quantum gates. This method assumes the library of quantum gate primitives are constructed so as to have the lowest possible quantum cost. In this paper, we first propose some new CV∕CV+-like gates, i.e. controlled-kth-root-of-NOT gates where k = 2,4,8,…, and give all corresponding matrixes. Further, we also present a novel generic method to quickly and directly construct this new optimal quantum logic gate library using CNOT and these non-permutative quantum gates. Our method introduces new means to find permutative quantum gates with lower quantum cost.


Author(s):  
Ropa Roy ◽  
Asoke Nath

A quantum gate or quantum logic gate is an elementary quantum circuit working on a small number of qubits. It means that quantum gates can grasp two primary feature of quantum mechanics that are entirely out of reach for classical gates : superposition and entanglement. In simpler words quantum gates are reversible. In classical computing sets of logic gates are connected to construct digital circuits. Similarly, quantum logic gates operates on input states that are generally in superposition states to compute the output. In this paper the authors will discuss in detail what is single and multiple qubit gates and scope and challenges in quantum gates.


2010 ◽  
Vol 18 (19) ◽  
pp. 20475 ◽  
Author(s):  
Mohammed F. Saleh ◽  
Giovanni Di Giuseppe ◽  
Bahaa E. A. Saleh ◽  
Malvin Carl Teich

1995 ◽  
Vol 52 (5) ◽  
pp. 3554-3559 ◽  
Author(s):  
P. Domokos ◽  
J. M. Raimond ◽  
M. Brune ◽  
S. Haroche

2000 ◽  
Vol 62 (5) ◽  
Author(s):  
Xinlan Zhou ◽  
Debbie W. Leung ◽  
Isaac L. Chuang

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