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Abstract
In this proofofconcept paper we show that tensor product approach is efficient for control of large quantum systems, such as Heisenberg spin wires, which are essential for emerging quantum computing technologies. We compute optimal control sequences using GRAPE method, applying the recently developed tAMEn algorithm to calculate evolution of quantum states represented in the tensor train format to reduce storage. Using tensor product algorithms we can overcome the curse of dimensionality and compute the optimal control pulse for a 41 spin system on a single workstation with fully controlled accuracy and huge savings of computational time and memory. The use of tensor product algorithms opens new approaches for development of quantum computers with 50–100 qubits.
Original language  English 

Title of host publication  Integral Methods in Science and Engineering 
Editors  Cristian Constanda, Paul J Harris 
Publisher  Birkhäuser 
Chapter  29 
Pages  367379 
ISBN (Electronic)  9783030160777 
ISBN (Print)  9783030160760 
DOIs  
Publication status  Published  19 Jul 2019 
Keywords
 quantum control
 highdimensional problems
 optimisation
 tensor product approximations
 algorithmic synthesis of quantum circuits
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Activities
 1 Oral presentation

Tensor product approach to quantum control
Dmitry Savostyanov (Presenter)
26 Sep 2019 → 27 Sep 2019Activity: External talk or presentation › Oral presentation
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