scholarly journals Equivalence Checking in Multi-level Quantum Systems

Author(s):  
Philipp Niemann ◽  
Robert Wille ◽  
Rolf Drechsler
2019 ◽  
Vol 531 (11) ◽  
pp. 1900063
Author(s):  
Du Ran ◽  
Wu‐Jiang Shan ◽  
Zhi‐Cheng Shi ◽  
Zhen‐Biao Yang ◽  
Jie Song ◽  
...  
Keyword(s):  

Author(s):  
Vladimir S. Malinovsky ◽  
Svetlana A. Malinovskaya ◽  
Bo Y. Chang ◽  
Ignacio R. Sola ◽  
Barry M. Garraway

1981 ◽  
Vol 2 (1) ◽  
pp. 25-29
Author(s):  
Genady P. Berman ◽  
George M. Zaslavsky

2020 ◽  
Vol 28 (11) ◽  
pp. 17020 ◽  
Author(s):  
Rostislav Arkhipov ◽  
Anton Pakhomov ◽  
Mikhail Arkhipov ◽  
Ayhan Demircan ◽  
Uwe Morgner ◽  
...  
Keyword(s):  

2019 ◽  
Vol 531 (11) ◽  
pp. 1970039
Author(s):  
Du Ran ◽  
Wu‐Jiang Shan ◽  
Zhi‐Cheng Shi ◽  
Zhen‐Biao Yang ◽  
Jie Song ◽  
...  
Keyword(s):  

2021 ◽  
Vol 4 (1) ◽  
Author(s):  
Stefano Chessa ◽  
Vittorio Giovannetti

AbstractEvaluating capacities of quantum channels is the first purpose of quantum Shannon theory, but in most cases the task proves to be very hard. Here, we introduce the set of Multi-level Amplitude Damping quantum channels as a generalization of the standard qubit Amplitude Damping Channel to quantum systems of finite dimension d. In the special case of d = 3, by exploiting degradability, data-processing inequalities, and channel isomorphism, we compute the associated quantum and private classical capacities for a rather wide class of maps, extending the set of models whose capacity can be computed known so far. We proceed then to the evaluation of the entanglement assisted quantum and classical capacities.


Author(s):  
Maciej Malinowski ◽  
Chi Zhang ◽  
Karan Kartik Mehta ◽  
Thanh Long Nguyen ◽  
Joseba Alonso ◽  
...  

2019 ◽  
Vol 9 (1) ◽  
Author(s):  
Sebastián Carrasco ◽  
José Rogan ◽  
Juan Alejandro Valdivia

Abstract A fast and robust approach to controlling the quantum state of a multi-level quantum system is investigated using a twofrequency time-varying potential. A comparison with other related approaches in the context of a two-level system is also presented, showing similar times and fidelities. As a concrete example, we study the problem of a particle in a box with a periodically oscillating infinite square-well potential, from which we obtain results that can be applied to systems with periodically oscillating boundary conditions. We show that the transition between the ground and first excited state is about 20 times faster than the one performed using a single frequency, both with fidelity of 99.97%. The transition time is about 3.5 times the minimum allowed by quantum mechanics. A test of the robustness of the approach is presented, concluding that, counter-intuitively, it is not only faster but also easier to tune up two frequencies than one. This robustness makes the approach suitable for real applications.


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