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We establish a sharp quantum advantage in determining the parity (even/odd) of an unknown permutation applied to any number $n \ge 3$ of particles. Classically, this is impossible with fewer than $n$ labels, being that the success is…

Quantum fidelity is a central tool in quantum information, quantifying how much two quantum states are similar. Here we propose a limit formula for the quantum fidelity between a mixed state and a pure state. As an example of an…

量子物理 · 物理学 2014-10-13 Gaetana Spedalieri , Christian Weedbrook , Stefano Pirandola

Well defined quantum key distribution between two users requires both calibration to ensure quantum effects and synchronization to stabilize the bit parity of the results. Here we present two quantum effects regarding two entangled photons…

密码学与安全 · 计算机科学 2018-06-04 Billy E. Geerhart , Venkat R. Dasari

The quantum cloner machine maps an unknown arbitrary input qubit into two optimal clones and one optimal flipped qubit. By combining linear and non-linear optical methods we experimentally implement a scheme that, after the cloning…

量子物理 · 物理学 2009-11-11 Fabio Sciarrino , Veronica Secondi , Francesco De Martini

Quantum mechanics can emerge from classical statistics. A typical quantum system describes an isolated subsystem of a classical statistical ensemble with infinitely many classical states. The state of this subsystem can be characterized by…

量子物理 · 物理学 2015-05-13 C. Wetterich

Quantum state estimation (or state tomography) is an indispensable task in quantum information processing. Because full state tomography that determines all elements of the density matrix is computationally demanding, one usually takes the…

量子物理 · 物理学 2023-09-21 Hiroshi Yano , Naoki Yamamoto

Optimal quantum cloning is the process of making one or more copies of an arbitrary unknown input quantum state with the highest possible fidelity. All reported demonstrations of quantum cloning have so far been limited to copying…

We introduce the informational power of a quantum measurement as the maximum amount of classical information that the measurement can extract from any ensemble of quantum states. We prove the additivity by showing that the informational…

量子物理 · 物理学 2015-05-27 Michele Dall'Arno , Giacomo Mauro D'Ariano , Massimiliano F. Sacchi

Although perfect copying of an unknown quantum state is not possible, approximate cloning is possible in quantum mechanics. Quantum telecloning is a variant of approximate quantum cloning which uses quantum teleportation to allow for the…

量子物理 · 物理学 2023-05-11 Elijah Pelofske , Andreas Bärtschi , Stephan Eidenbenz

The accessible information quantifies the amount of classical information that can be extracted from an ensemble of quantum states. Analogously, the informational power quantifies the amount of classical information that can be extracted by…

量子物理 · 物理学 2014-08-06 Michele Dall'Arno , Francesco Buscemi , Masanao Ozawa

The relative error of cloning of quantum states with arbitrary prior probabilities is considered. It is assumed that the ancilla may contain some a priori information about the input state to be cloned. The lower bound on the relative error…

量子物理 · 物理学 2010-06-18 Alexey E. Rastegin

When quantum states are used to send classical information, the receiver performs a measurement on the signal states. The amount of information extracted is often not optimal due to the receiver's measurement scheme and experimental…

量子物理 · 物理学 2018-04-25 Rui Han , Gerd Leuchs , Markus Grassl

We study measurements on various subsystems of the output of a universal 1 to 2 cloning machine, and establish a correspondence between these measurements at the output and effective measurements on the original input. We show that one can…

量子物理 · 物理学 2016-08-15 Dagmar Bruss , John Calsamiglia , Norbert Lütkenhaus

Quantum information science explores the frontier of highly complex quantum states, the "entanglement frontier." This study is motivated by the observation (widely believed but unproven) that classical systems cannot simulate highly…

量子物理 · 物理学 2012-11-13 John Preskill

In classical computation, a problem can be solved in multiple steps where calculated results of each step can be copied and used repeatedly. While in quantum computation, it is difficult to realize a similar multi-step computation process…

量子物理 · 物理学 2023-01-19 Hefeng Wang , Sixia Yu , Hua Xiang

We consider state redistribution of a "hybrid" information source that has both classical and quantum components. The sender transmits classical and quantum information at the same time to the receiver, in the presence of classical and…

量子物理 · 物理学 2022-06-01 Eyuri Wakakuwa , Yoshifumi Nakata , Min-Hsiu Hsieh

In quantum mechanics, a state is an element of a Hilbert space whose dimension exponentially grows with the increase of the number of particles (or qubits, in quantum computing). The vague question "is this huge Hilbert space really there?"…

量子物理 · 物理学 2022-04-11 Doriano Brogioli

$P$-divisibility is a central concept in both classical and quantum non-Markovian processes; in particular, it is strictly related to the notion of information backflow. When restricted to a fixed commutative algebra generated by a complete…

量子物理 · 物理学 2024-11-27 Fabio Benatti , Dariusz Chruściński , Giovanni Nichele

A theoretical model of a quantum device which can factorize any number N in two steps i.e. by preparing an input state and performing a measurement is discussed. The analysis reveals that the duration of state preparation and measurement is…

量子物理 · 物理学 2007-05-23 Robert Alicki

We extend the notion of quantum reading to the case where the information to be retrieved, which is encoded into a set of quantum channels, is of quantum nature. We use two qubit unitaries describing the system environment interaction, with…

量子物理 · 物理学 2024-05-14 Samad Khabbazi-Oskouei , Stefano Mancini , Milajiguli Rexiti
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