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Quantifying and verifying the control level in preparing a quantum state are central challenges in building quantum devices. The quantum state is characterized from experimental measurements, using a procedure known as tomography, which…

量子物理 · 物理学 2021-12-28 Quoc Hoan Tran , Kohei Nakajima

The phase estimation algorithm is a powerful quantum algorithm with applications in cryptography, number theory, and simulation of quantum systems. We use this algorithm to simulate the time evolution of a system of two spin-1/2 particles…

量子物理 · 物理学 2021-05-12 Scott Johnstun , Jean-François Van Huele

The quasiprobability distribution of the discrete Wigner function provides a complete description of a quantum state and is, therefore, a useful alternative to the usual density matrix description. Moreover, the experimental quantum state…

量子物理 · 物理学 2023-10-13 Deepesh Khushwani , Priya Batra , V. R. Krithika , T. S. Mahesh

The concepts of topology and geometry are of critical importance in exploring exotic phases of quantum matter. Though they have been investigated on various experimental platforms, to date a direct probe of topological and geometric…

量子物理 · 物理学 2024-06-07 Tianqi Chen , Hai-Tao Ding , Ruizhe Shen , Shi-Liang Zhu , Jiangbin Gong

We present a framework that formulates the quest for the most efficient quantum state tomography scheme as an optimization problem which can be solved numerically. This approach can be applied to a broad spectrum of relevant setups…

量子物理 · 物理学 2021-12-17 Violeta N. Ivanova-Rohling , Guido Burkard , Niklas Rohling

We present a quantum algorithm for estimating the matrix determinant based on quantum spectral sampling. The algorithm estimates the logarithm of the determinant of an $n \times n$ positive sparse matrix to an accuracy $\epsilon$ in time…

量子物理 · 物理学 2025-05-02 Vittorio Giovannetti , Seth Lloyd , Lorenzo Maccone

The characterization of a quantum device is a crucial step in the development of quantum experiments. This is accomplished via Quantum Process Tomography, which combines the outcomes of different projective measurements to deliver a…

量子物理 · 物理学 2025-06-26 Francesco Di Colandrea , Nazanin Dehghan , Alessio D'Errico , Ebrahim Karimi

Recent advances in quantum computers and simulators are steadily leading us towards full-scale quantum computing devices. Due to the fact that debugging is necessary to create any computing device, quantum tomography (QT) is a critical…

量子物理 · 物理学 2021-10-12 B. I. Bantysh , A. Yu. Chernyavskiy , Yu. I. Bogdanov

Quantum process tomography is an experimental technique to fully characterize an unknown quantum process. Standard quantum process tomography suffers from exponentially scaling of the number of measurements with the increasing system size.…

量子物理 · 物理学 2022-08-02 Shichuan Xue , Yong Liu , Yang Wang , Pingyu Zhu , Chu Guo , Junjie Wu

Spontaneous emission and the inelastic scattering of photons are two natural processes usually associated with decoherence and the reduction in the capacity to process quantum information. Here we show that when suitably detected, these…

量子物理 · 物理学 2012-04-27 Marcelo F. Santos , Marcelo Terra Cunha , Rafael Chaves , Andre R. R. Carvalho

In this article we propose a new approach to quantum measurement in reference to the stroboscopic tomography. Generally, in the stroboscopic approach it is assumed that the information about the quantum system is encoded in the mean values…

量子物理 · 物理学 2020-07-30 Artur Czerwiński

Quantum state tomography is an essential component of modern quantum technology. In application to continuous-variable harmonic-oscilator systems, such as the electromagnetic field, existing tomography methods typically reconstruct the…

量子物理 · 物理学 2023-01-09 Ekaterina Fedotova , Nikolai Kuznetsov , Egor Tiunov , A. E. Ulanov , A. I. Lvovsky

Why do we need quantization to describe vision? What are the quadrature operators of the electromagnetic field? Is it possible to measure them? What are the characteristic functions useful for? In this brief tutorial we provide the…

量子物理 · 物理学 2021-10-08 Stefano Olivares

Central to quantum theory, the wavefunction is the complex distribution used to completely describe a quantum system. Despite its fundamental role, it is typically introduced as an abstract element of the theory with no explicit definition.…

量子物理 · 物理学 2011-12-16 Jeff S. Lundeen , Brandon Sutherland , Aabid Patel , Corey Stewart , Charles Bamber

The use of qubits as sensitive magnetometers has been studied theoretically and recent demonstrated experimentally. In this paper we propose a generalisation of this concept, where a scanning two-state quantum system is used to probe the…

量子物理 · 物理学 2009-12-10 J. H. Cole , L. C. L. Hollenberg

As the variety of commercially available quantum computers continues to increase so does the need for tools that can characterize, verify and validate these computers. This work explores using quantum state tomography for characterizing the…

量子物理 · 物理学 2022-05-06 Adrien Suau , Marc Vuffray , Andrey Y. Lokhov , Lukasz Cincio , Carleton Coffrin

We investigate the effects of spontaneous scattering on the evolution of entanglement of two atomic samples, probed by phase shift measurements on optical beams interacting with both samples. We develop a formalism of conditional quantum…

量子物理 · 物理学 2007-05-23 Antonio Di Lisi , Silvio De Siena , Fabrizio Illuminati

Two-dimensional spectroscopy is discussed for open quantum systems with multiple simultaneously measurable fluxes. In particular, we discuss a junction where optical measurements of photon flux are complemented with simultaneous transport…

介观与纳米尺度物理 · 物理学 2025-02-28 Haoran Sun , Upendra Harbola , Shaul Mukamel , Michael Galperin

We present a spectroscopy scheme using transfer matrix and tensor network. With this method, the energy spectrum is obtained from the eigenvalues of the transfer matrix which is estimated by coarse grained tensor network of a lattice model,…

高能物理 - 格点 · 物理学 2024-12-02 Fathiyya Izzatun Az-zahra , Shinji Takeda , Takeshi Yamazaki

Quantum computation has been growing rapidly in both theory and experiments. In particular, quantum computing devices with a large number of qubits have been developed by IBM, Google, IonQ, and others. The current quantum computing devices…

量子物理 · 物理学 2021-02-10 Rishabh Gupta , Rongxin Xia , Raphael D. Levine , Sabre Kais