Improved maximum-likelihood quantum amplitude estimation
Quantum amplitude estimation is a key subroutine in a number of powerful quantum algorithms, including quantum-enhanced Monte Carlo simulation and quantum machine learning. Maximum-likelihood quantum amplitude estimation (MLQAE) is one of a number of recent approaches that employ much simpler quantum circuits than the original algorithm based on ...
Callison, Adam, Browne, Dan E.
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Adaptive Algorithm for Quantum Amplitude Estimation
Quantum amplitude estimation is a key sub-routine of a number of quantum algorithms with various applications. We propose an adaptive algorithm for interval estimation of amplitudes. The quantum part of the algorithm is based only on Grover's algorithm.
Zhao, Yunpeng +5 more
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Quantum advantage of Monte Carlo option pricing
Quantum computers have the potential to provide quadratic speedup for Monte Carlo methods currently used in various classical applications. In this work, we examine the advantage of quantum computers for financial option pricing with the Monte Carlo ...
Zoltán Udvarnoki +2 more
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Optimal polynomial based quantum eigenstate filtering with application to solving quantum linear systems [PDF]
We present a quantum eigenstate filtering algorithm based on quantum signal processing (QSP) and minimax polynomials. The algorithm allows us to efficiently prepare a target eigenstate of a given Hamiltonian, if we have access to an initial state with ...
Lin Lin, Yu Tong
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Joint quantum estimation of loss and nonlinearity in driven-dissipative Kerr resonators
We address multiparameter quantum estimation for coherently driven nonlinear Kerr resonators in the presence of loss. In particular, we consider the realistic situation in which the parameters of interest are the loss rate and the nonlinear coupling ...
Muhammad Asjad +2 more
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Recovery With Incomplete Knowledge: Fundamental Bounds on Real-Time Quantum Memories [PDF]
The recovery of fragile quantum states from decoherence is the basis of building a quantum memory, with applications ranging from quantum communications to quantum computing.
Arshag Danageozian
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Grand Unification of Quantum Algorithms
Quantum algorithms offer significant speed-ups over their classical counterparts for a variety of problems. The strongest arguments for this advantage are borne by algorithms for quantum search, quantum phase estimation, and Hamiltonian simulation, which
John M. Martyn +3 more
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Direct Application of the Phase Estimation Algorithm to Find the Eigenvalues of the Hamiltonians [PDF]
The eigenvalue of a Hamiltonian, $\mathcal{H}$, can be estimated through the phase estimation algorithm given the matrix exponential of the Hamiltonian, $exp(-i\mathcal{H})$.
de Sene, Renata Karina +6 more
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Linear regression by quantum amplitude estimation and its extension to convex optimization [PDF]
Linear regression is a basic and widely-used methodology in data analysis. It is known that some quantum algorithms efficiently perform least squares linear regression of an exponentially large data set. However, if we obtain values of the regression coefficients as classical data, the complexity of the existing quantum algorithms can be larger than ...
Kazuya Kaneko +3 more
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Complete elimination of information leakage in continuous-variable quantum communication channels [PDF]
In all lossy communication channels realized to date, information is inevitably leaked to a potential eavesdropper. Here we present a communication protocol that does not allow for any information leakage to a potential eavesdropper in a purely lossy ...
Andersen, Ulrik L. +4 more
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