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Implementing fast and high-fidelity quantum operations using open-loop quantum optimal control relies on having an accurate model of the quantum dynamics. Any deviations between this model and the complete dynamics of the device, such as…

Quantum Physics · Physics 2024-10-31 Elie Genois , Noah J. Stevenson , Noah Goss , Irfan Siddiqi , Alexandre Blais

We consider simulating the BCS Hamiltonian, a model of low temperature superconductivity, on a quantum computer. In particular we consider conducting the simulation on the qubus quantum computer, which uses a continuous variable ancilla to…

Quantum Physics · Physics 2011-11-08 Katherine L. Brown , Suvabrata De , Vivien M. Kendon , William J. Munro

Quantum computations are typically compiled into a circuit of basic quantum gates. Just like for classical circuits, a quantum compiler should optimize the quantum circuit, e.g. by minimizing the number of required gates. Optimizing quantum…

Quantum Physics · Physics 2023-03-31 Raban Iten , Romain Moyard , Tony Metger , David Sutter , Stefan Woerner

The cloning of quantum variables with continuous spectra is investigated. We define a Gaussian 1-to-2 cloning machine, which copies equally well two conjugate variables such as position and momentum or the two quadrature components of a…

Quantum Physics · Physics 2007-05-23 N. J. Cerf , S. Iblisdir , G. Van Assche

We investigate a new class of quantum cloning machines that equally duplicate all real states in a Hilbert space of arbitrary dimension. By using the no-signaling condition, namely that cloning cannot make superluminal communication…

Quantum Physics · Physics 2009-11-10 Patrick Navez , Nicolas J. Cerf

Quantum computing has shown tremendous promise in addressing complex computational problems, yet its practical realization is hindered by the limited availability of qubits for computation. Recent advancements in quantum hardware have…

Quantum Physics · Physics 2023-11-22 Kun Fang , Munan Zhang , Ruqi Shi , Yinan Li

We present a systematic analysis how one can improve performance of probabilistic programmable quantum processors. We generalize a simple Vidal-Masanes-Cirac processor that realizes U(1) rotations on a qubit with the phase of the rotation…

Quantum Physics · Physics 2009-11-10 Mark Hillery , Mario Ziman , Vladimir Buzek

Future quantum computers capable of solving relevant problems will require a large number of qubits that can be operated reliably. However, the requirements of having a large qubit count and operating with high-fidelity are typically…

We establish a connection between optimal quantum cloning and optimal state estimation for d-dimensional quantum systems. In this way we derive an upper limit on the fidelity of state estimation for d-dimensional pure quantum states and,…

Quantum Physics · Physics 2009-10-31 D. Bruss , C. Macchiavello

High-dimensional entanglement is significant for the fundamental studies of quantum physics and offers unique advantages in various quantum information processing (QIP) tasks. Integrated quantum devices have recently emerged as a promising…

Quantum Physics · Physics 2022-08-30 Lijun Xia , Liangliang Lu , Kun Wang , Xinhe Jiang , Shining Zhu , Xiaosong Ma

While algebraic derivations establish theoretical limits for quantum cloning, practical implementations require explicit operator representations that are often unavailable analytically. We present a computational framework that…

Quantum Physics · Physics 2026-05-21 Jörg Hettel

We present a quantum algorithm for the simulation of molecular systems that is asymptotically more efficient than all previous algorithms in the literature in terms of the main problem parameters. As in previous work [Babbush et al., New…

Quantum computing is greatly advanced in recent years and is expected to transform the computation paradigm in the near future. Quantum circuit simulation plays a key role in the toolchain for the development of quantum hardware and…

Emerging Technologies · Computer Science 2020-07-21 Yuan-Hung Tsai , Jie-Hong R. Jiang , Chiao-Shan Jhang

We solve the problem of achieving the optimal physical approximation of the transposition for pure states of arbitrary quantum systems for finite and infinite dimensions. A unitary realization is also given for any finite dimension, which…

Quantum Physics · Physics 2007-05-23 F. Buscemi , G. M. D'Ariano , P. Perinotti , M. F. Sacchi

A generalized universal quantum cloning machine is proposed which allows the input to be arbitrary states in symmetric subspace. And it reduces to the universal quantum cloning machine (UQCM) if the input are identical pure states. The…

Quantum Physics · Physics 2007-05-23 Heng Fan , Keiji Matsumoto , Xiang-Bin Wang , Hiroshi Imai , Miki Wadati

We propose a scheme for continuous-variable quantum cloning of coherent states with phase-conjugate input modes using linear optics. The quantum cloning machine yields $M$ identical optimal clones from $N$ replicas of a coherent state and…

Quantum Physics · Physics 2009-11-13 Haixia Chen , Jing Zhang

This work is a benchmark study for quantum-classical computing method with a real-world optimization problem from industry. The problem involves scheduling and balancing jobs on different machines, with a non-linear objective function. We…

Quantum Physics · Physics 2024-08-06 Abhishek Awasthi , Nico Kraus , Florian Krellner , David Zambrano

A common requirement of quantum simulations and algorithms is the preparation of complex states through sequences of 2-qubit gates. For a generic quantum state, the number of gates grows exponentially with the number of qubits, becoming…

Quantum Physics · Physics 2024-07-08 Matan Ben Dov , David Shnaiderov , Adi Makmal , Emanuele G. Dalla Torre

A transformation achieving the optimal symmetric N-to-M cloning of coherent states is presented. Its implementation only requires a phase-insensitive linear amplifier and a network of beam splitters. An experimental demonstration of this…

Quantum Physics · Physics 2009-11-06 Samuel L. Braunstein , Nicolas J. Cerf , Sofyan Iblisdir , Peter van Loock , Serge Massar

We demonstrate, numerically, the possibility of manipulating the spin states of molecular nanomagnets with shaped microwave pulses designed with quantum optimal control theory techniques. The state-to-state or full gate transformations can…

Quantum Physics · Physics 2021-12-01 Alberto Castro , Adrian Garcia Carrizo , David Zueco , Fernando Luis