24 papers · ranked by Valyu relevance
Muhammad Abdullah Ijaz, Muhammad Faryad
The quantum singular value transformation (QSVT) algorithm is a general framework to implement most of the known algorithms and provides a way forward for designing new algorithms. In the present work, the impact of noise on the QSVT algorithm is examined for bit flip, phase flip, bit-phase flip, and depolarizing noise…
Laura T. Knoll, Agustina G. Magnoni, Miguel A. Larotonda, Viktor Dodonov
'Viktor Dodonov'] Photonic quantum metrology has emerged as a leading platform for quantum-enhanced precision measurements. By taking advantage of quantum resources such as entanglement, quantum metrology enables parameter estimation with sensitivities surpassing classical limits. In this review, we describe the basic…
Yulong Dong, Jonathan A. Gross, Murphy Yuezhen Niu
Quantum effects like entanglement and coherent amplification can be used to drastically enhance the accuracy of quantum parameter estimation beyond classical limits. However, challenges such as decoherence and time-dependent errors hinder Heisenberg-limited amplification. We introduce Quantum Signal-Processing Phase…
Yan Li, Luca Pezzè, Manuel Gessner, Zhihong Ren + 2 more
Frequentist and Bayesian phase estimation strategies lead to conceptually different results on the state of knowledge about the true value of an unknown parameter. We compare the two frameworks and their sensitivity bounds to the estimation of an interferometric phase shift limited by quantum noise, considering both…
Hamed Mohammadbagherpoor, Young-Hyun Oh, Patrick Dreher, Anand Singh + 2 more
'Xianqing Yu' 'Andy Rindos'] Abstract—Quantum phase estimation (QPE) is one of the core algorithms for quantum computing. It has been extensively studied and applied in a variety of quantum applications such as the Shor's factoring algorithm, quantum sampling algorithms and the calculation of the eigenvalues of unitary…
Hamed Mohammadbagherpoor, Young-Hyun Oh, Anand Singh, Xianqing Yu + 1 more
'Andy Rindos'] Abstract—Many researchers have been heavily investigated on quantum phase estimation (QPE) algorithms to find the unknown phase, since QPE is the core building block of the most quantum algorithms such as the Shor's factoring algorithm, quantum sampling algorithms, and finding the eigenvalues of unitary…
Jin-Feng Qin, Yuqian Xu, Jing Liu
Phase estimation is a major mission in quantum metrology. In the finite-dimensional Fock space the NOON state ceases to be optimal when the particle number is fixed yet not equal to the space dimension minus one, and what is the true optimal state in this case is still undiscovered. Hereby we present three theorems to…
Peyman Najafi, Ghasem Naeimi, Shahpoor Saeidian
We propose a method to map the conventional optical interferometry setup into quantum circuits. The unknown phase shift inside a Mach-Zehnder interferometer in the presence of photon loss is estimated by simulating the quantum circuits. For this aim, we use the Bayesian approach in which the likelihood functions are…
Michael J. W. Hall
There has been much interest in developing phase estimation schemes which beat the so-called Heisenberg limit, i.e., for which the phase resolution scales better than 1/n, where n is a measure of resources such as the average photon number or the number of atomic qubits. In particular, a number of nonlinear schemes…
Ben Wang, Minghao Mi, Huangqiuchen Wang, Qian Xie + 1 more
Accurate phase estimation plays a pivotal role in quantum metrology, yet its precision is significantly affected by noise, particularly phase-diffusive noise caused by phase drift. To address this challenge, the joint estimation of phase and phase diffusion has emerged as an effective approach, transforming the problem…
Giacomo Carrara, Marco G. Genoni, S. Cialdi, Matteo G. A. Paris + 1 more
'Stefano Olivares'] We address a phase estimation scheme using Gaussian states in the presence of non-Gaussian phase noise. At variance with previous analysis, we analyze situations in which the noise occurs before encoding phase information. In particular, we study how squeezing may be profitably used before or after…
Fabian Wolf, Chunyan Shi, Jan C. Heip, Manuel Gessner + 5 more
'Augusto Smerzi' 'Marius Schulte' 'Klemens Hammerer' 'Piet O. Schmidt'] The quantum noise of the vacuum limits the achievable sensitivity of quantum sensors. In non-classical measurement schemes the noise can be reduced to overcome this limitation. However, schemes based on squeezed or Schrödinger cat states require…
Y. Ben-Aryeh
Photon counting measurements are analyzed for obtaining a classical phase parameter in linear Mach Zehnder interferometer (MZI), by the use of phase estimation theories. The detailed analysis is made for four cases: a) Coherent states inserted into the interferometer. b) Fock number state inserted in one input port of…
László Ruppert, Radim Filip
We propose classical interferometry with low-intensity thermal radiation for the estimation of nonclassical independent Gaussian processes in material samples. We generally determine the mean square error of the phase-independent parameters of an unknown Gaussian process, considering a noisy source of radiation the…
Anirudh Wodeyar, Mark Schatza, Alik S. Widge, Uri T. Eden + 1 more
Brain rhythms have been proposed to facilitate brain function, with an especially important role attributed to the phase of low frequency rhythms. Understanding the role of phase in neural function requires interventions that perturb neural activity at a target phase, necessitating estimation of phase in real-time.…
Authors not listed
One of the main applications for which quantum computers are hoped to find utility is in simulating ground state energies and other observables of molecular chemical systems. The recently proposed sample-based diagonalization method is a readily implementable method for this task on current-day hardware using short…
Richard Winpenny, Edmund Little, Jacob Mrozek, Ciaran J Rogers + 4 more
Quantum information processing promises to revolutionise computing; quantum algorithms have been discovered that address common tasks significantly more efficiently than their classical counterparts. For a physical system to be a viable quantum computer it must be possible to initialise its quantum state, to realise a…
Shivangi Patel, Eleni Psarou, Gregor Mönke, Pascal Fries
Cognitive functions depend on neuronal communication, which is subserved by the synchronization of neuronal rhythms. Rhythms are characterized by their frequency, power and phase. If the phase of a rhythm just preceding an input is predictive of the neuronal or behavioral response to the input, this provides strong…
Sheng Liu, Sujeet Pani, Sajjad A. Khan, Francisco E. Becerra + 1 more
According to Rayleigh’s criterion, two incoherent emitters with a separation below the diffraction limit are not resolvable with a conventional fluorescence microscope. One method of Super-Resolution Microscopy (SRM) circumvents the diffraction-limited resolution by precisely estimating the position of spatiotemporally…
Authors not listed
We develop a comprehensive theoretical framework for quantum-enhanced risk modeling in financial systems, establishing mathematical foundations for representing and computing risk factors using quantum states and operations. The theory begins by formulating portfolio risk as quantum observables, where correlations…
Arkajit Mandal, Michael Taylor, Braden Weight, Eric Koessler + 2 more
When molecules are coupled to an optical cavity, new light-matter hybrid states, so-called polaritons, are formed due to quantum light-matter interactions. With the experimental demonstrations of modifying chemical reactivities by forming polaritons under strong light-matter interactions, theorists have been encouraged…
Mårten Skogh, Phalgun Lolur, Werner Dobrautz, Christopher Warren + 5 more
There is currently no combination of quantum hardware and algorithms that can provide an advantage over conventional calculations of molecules or materials. However, if or when such a point is reached, new strategies will be needed to verify predictions made using quantum devices. We propose that the electron density…
Giuseppe Di Caro, Vahagn Kirakosyan, Alexander G. Abanov, Jerome R. Busemeyer + 10 more
The accurate prediction of chromosomal instability from the morphology of circulating tumor cells (CTCs) enables real-time detection of CTCs with high metastatic potential in the context of liquid biopsy diagnostics. However, it presents a significant challenge due to the high dimensionality and complexity of…
Qinyi Chen, Jongchan Park, Shuqi Mu, Liang Gao
The phasor approach to time-domain fluorescence lifetime imaging microscopy (FLIM) offers a powerful, fit-free method for analyzing complex fluorescence decay signals. However, its quantitative accuracy is fundamentally limited by noise—particularly photon shot noise—which introduces variability and bias in lifetime…