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pro vyhledávání: '"Patel, Dhrumil"'
Quantum phase estimation is one of the fundamental primitives that underpins many quantum algorithms, including Shor's algorithm for efficiently factoring large numbers. Due to its significance as a subroutine, in this work, we consider the coherent
Externí odkaz:
http://arxiv.org/abs/2403.18927
Autor:
Chen, Jingxuan, Westerheim, Hanna, Holmes, Zoë, Luo, Ivy, Nuradha, Theshani, Patel, Dhrumil, Rethinasamy, Soorya, Wang, Kathie, Wilde, Mark M.
Solving optimization problems is a key task for which quantum computers could possibly provide a speedup over the best known classical algorithms. Particular classes of optimization problems including semi-definite programming (SDP) and linear progra
Externí odkaz:
http://arxiv.org/abs/2312.03830
Autor:
Westerheim, Hanna, Chen, Jingxuan, Holmes, Zoë, Luo, Ivy, Nuradha, Theshani, Patel, Dhrumil, Rethinasamy, Soorya, Wang, Kathie, Wilde, Mark M.
The variational quantum eigensolver (VQE) is a hybrid quantum--classical variational algorithm that produces an upper-bound estimate of the ground-state energy of a Hamiltonian. As quantum computers become more powerful and go beyond the reach of cla
Externí odkaz:
http://arxiv.org/abs/2312.03083
Autor:
Patel, Dhrumil, Wilde, Mark M.
Publikováno v:
Open Systems & Information Dynamics, Vol. 30, No. 03, page 2350014 (September 2023)
In this paper, we investigate the problem of simulating open system dynamics governed by the well-known Lindblad master equation. In our prequel paper, we introduced an input model in which Lindblad operators are encoded into pure quantum states, cal
Externí odkaz:
http://arxiv.org/abs/2309.14453
Autor:
Patel, Dhrumil, Wilde, Mark M.
Publikováno v:
Open Systems & Information Dynamics, Vol. 30, No. 02, page 2350010 (June 2023)
Density Matrix Exponentiation is a technique for simulating Hamiltonian dynamics when the Hamiltonian to be simulated is available as a quantum state. In this paper, we present a natural analogue to this technique, for simulating Markovian dynamics g
Externí odkaz:
http://arxiv.org/abs/2307.14932
Publikováno v:
Physical Review A, vol. 109, no. 3, page 032431, March 2024
Entropy measures quantify the amount of information and correlation present in a quantum system. In practice, when the quantum state is unknown and only copies thereof are available, one must resort to the estimation of such entropy measures. Here we
Externí odkaz:
http://arxiv.org/abs/2307.01171
Brain tumor segmentation from magnetic resonance imaging (MRI) plays an important role in diagnostic radiology. To overcome the practical issues in manual approaches, there is a huge demand for building automatic tumor segmentation algorithms. This w
Externí odkaz:
http://arxiv.org/abs/2302.05598
Publikováno v:
Quantum 8, 1374 (2024)
A semidefinite program (SDP) is a particular kind of convex optimization problem with applications in operations research, combinatorial optimization, quantum information science, and beyond. In this work, we propose variational quantum algorithms fo
Externí odkaz:
http://arxiv.org/abs/2112.08859
Autor:
Patel, Dhrumil1,2 (AUTHOR) djp265@cornell.edu, Roy, Arup3 (AUTHOR), Chakrabarty, Indranil2,4 (AUTHOR), Ganguly, Nirman5 (AUTHOR)
Publikováno v:
Pramana: Journal of Physics. Jun2024, Vol. 98 Issue 2, p1-11. 11p.
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