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Deterministic quantum computation with one quantum bit (DQC1) is a model of quantum computing where the input restricted to containing a single qubit in a pure state and with all other qubits in a completely-mixed state, with only a single…

量子物理 · 物理学 2015-03-02 Tomoyuki Morimae , Keisuke Fujii , Joseph F. Fitzsimons

Deterministic quantum computation with one quantum bit (DQC1), or the one clean qubit model, [E. Knill and R. Laflamme, Phys. Rev. Lett. {\bf81}, 5672 (1998)] is a model of quantum computing where the input is the tensor product of a single…

量子物理 · 物理学 2014-06-06 Tomoyuki Morimae , Takeshi Koshiba

In this paper we consider the purification of a quantum state using the information obtained from a continuous measurement record, where the classical measurement record is digitized to a single bit per measurement after the measurements…

量子物理 · 物理学 2012-01-05 Jason F. Ralph , Neil P. Oxtoby

Deterministic quantum computation with one quantum bit (DQC1) is a restricted model of quantum computing where the input state is the completely mixed state except for a single clean qubit, and only a single output qubit is measured at the…

Although quantum computers are capable of solving problems like factoring exponentially faster than the best-known classical algorithms, determining the resources responsible for their computational power remains unclear. An important class…

量子物理 · 物理学 2016-05-11 Nana Liu , Jayne Thompson , Christian Weedbrook , Seth Lloyd , Vlatko Vedral , Mile Gu , Kavan Modi

The main goal of quantum metrology is to obtain accurate values of physical parameters using quantum probes. In this context, we show that abstention, i.e., the possibility of getting an inconclusive answer at readout, can drastically…

量子物理 · 物理学 2013-05-31 B. Gendra , E. Ronco-Bonvehi , J. Calsamiglia , R. Munoz-Tapia , E. Bagan

We point out a general framework that encompasses most cases in which quantum effects enable an increase in precision when estimating a parameter (quantum metrology). The typical quantum precision-enhancement is of the order of the square…

量子物理 · 物理学 2009-11-11 Vittorio Giovannetti , Seth Lloyd , Lorenzo Maccone

Quantum bits, or qubits, are the fundamental building blocks of present quantum computers. Hence, it is important to be able to characterize the state of a qubit as accurately as possible. By evaluating the qubit characterization problem…

量子物理 · 物理学 2024-02-27 Bacui Li , Lorcan O. Conlon , Ping Koy Lam , Syed M. Assad

Deterministic quantum computation with one qubit (DQC1) is of significant theoretical and practical interest due to its computational advantages in certain problems, despite its subuniversality with limited quantum resources. In this work,…

量子物理 · 物理学 2025-08-06 Yujin Kim , Daniel K. Park

Quantum computation offers a promising new kind of information processing, where the non-classical features of quantum mechanics can be harnessed and exploited. A number of models of quantum computation exist, including the now well-studied…

量子物理 · 物理学 2011-08-03 H. J. Briegel , D. E. Browne , W. Dür , R. Raussendorf , M. Van den Nest

Quantum metrology is an auspicious discipline of quantum information which is currently witnessing a surge of experimental breakthroughs and theoretical developments. The main goal of quantum metrology is to estimate unknown parameters as…

量子物理 · 物理学 2022-01-06 Nathan Shettell

Quantum metrology is a general term for methods to precisely estimate the value of an unknown parameter by actively using quantum resources. In particular, some classes of entangled states can be used to significantly suppress the…

量子物理 · 物理学 2015-05-01 Takanori Sugiyama

We describe an efficient DQC1-algorithm to quantify the amount of Geometric Quantum Discord present in the output state of a DQC1 computation. DQC1 is a model of computation that utilizes separable states to solve a problem with no known…

量子物理 · 物理学 2012-07-13 G. Passante , O. Moussa , R. Laflamme

In standard quantum computation, the initial state is pure and the answer is determined by making a measurement of some of the bits in the computational basis. What can be accomplished if the initial state is a highly mixed state and the…

量子物理 · 物理学 2009-01-23 E. Knill , R. Laflamme

Mixed state quantum computation can perform certain tasks which are believed to be efficiently intractable on a classical computer. For a specific model of mixed state quantum computation, namely, {\it deterministic quantum computation with…

量子物理 · 物理学 2014-12-10 Mazhar Ali

Quantum properties of the probes used to estimate a classical parameter can be used to attain accuracies that beat the standard quantum limit. When qubits are used to construct a quantum probe, it is known that initializing $n$ qubits in an…

量子物理 · 物理学 2009-11-13 Anil Shaji , Carlton M. Caves

This paper explores the potential benefits of quantum coherence and quantum discord in the non-universal quantum computing model called deterministic quantum computing with one qubit (DQC1) in supervised machine learning. We show that the…

量子物理 · 物理学 2023-11-20 Mahsa Karimi , Ali Javadi-Abhari , Christoph Simon , Roohollah Ghobadi

We show that deterministic quantum computing with a single bit (DQC1) can determine whether the classical limit of a quantum system is chaotic or integrable using O(N) physical resources, where $N$ is the dimension of the Hilbert space of…

量子物理 · 物理学 2009-11-10 David Poulin , Raymond Laflamme , G. J. Milburn , Juan Pablo Paz

The "Power of One Qubit" refers to a computational model that has access to only one pure bit of quantum information, along with n qubits in the totally mixed state. This model, though not as powerful as a pure-state quantum computer, is…

量子物理 · 物理学 2009-11-11 Animesh Datta , Steven T. Flammia , Carlton M. Caves

Quantum-enhanced measurements exploit quantum mechanical effects to provide ultra-precise estimates of physical variables for use in advanced technologies, such as frequency calibration of atomic clocks, gravitational waves detection, and…

量子物理 · 物理学 2014-07-28 J. Calsamiglia , B. Gendra , R. Munoz-Tapia , E. Bagan
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