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We investigate the role of symmetric quantum cloning machines (QCMs) in quantifying the mutual incompatibility of quantum observables. Specifically, we identify a cloning-based incompatibility measure whereby the incompatibility of a set of…

Quantum Physics · Physics 2021-09-20 Arindam Mitra , Prabha Mandayam

We recast the quantum no-cloning theorem in a form that preserves spin statistics and apply it to entanglement.

Quantum Physics · Physics 2019-04-23 Mark G. Kuzyk

We argue that quantum nonlocality of entangled states is not an actual phenomenon. It appears in quantum mechanics as a consequence of the inconsistency of its superposition principle with the corpuscular properties of a quantum particle.…

Quantum Physics · Physics 2007-05-23 N. L. Chuprikov

For quantum computation, we investigate the conjecture that the superposition of macroscopically distinct states is necessary for a large quantum speedup. Although this conjecture was supported for a circuit-based quantum computer…

Quantum Physics · Physics 2013-04-10 Akira Shimizu , Yuichiro Matsuzaki , Akihisa Ukena

We introduce a theory of quantum error correction (QEC) for a subclass of states within a larger Hilbert space. In the standard theory of QEC, the set of all encoded states is formed by an arbitrary linear combination of the codewords.…

Quantum Physics · Physics 2022-07-13 Maximilian Reichert , Louis W. Tessler , Marcel Bergmann , Peter van Loock , Tim Byrnes

Efficient encoding of classical data into quantum state -- currently referred to as quantum encoding -- holds crucial significance in quantum computation. For finite-size databases and qubit registers, a common strategy of the quantum…

Quantum Physics · Physics 2025-08-05 Jaehee Kim , Taewan Kim , Kyunghyun Baek , Yongsoo Hwang , Joonsuk Huh , Jeongho Bang

We show that unitarity does not allow cloning of any two points in a ray. This has implication for cloning of the geometric phase information in a quantum state. In particular, the quantum history which is encoded in the geometric phase…

Quantum Physics · Physics 2015-06-26 Arun K. Pati

We show that, given a general mixed state for a quantum system, there are no physical means for {\it broadcasting\/} that state onto two separate quantum systems, even when the state need only be reproduced marginally on the separate…

Quantum Physics · Physics 2009-10-28 H. Barnum , C. M. Caves , C. A. Fuchs , R. Jozsa , B. Schumacher

We study the possibility for a global unitary applied on an arbitrary number of qubits to be decomposed in a sequential unitary procedure, where an ancillary system is allowed to interact only once with each qubit. We prove that sequential…

Quantum Physics · Physics 2009-11-13 L. Lamata , J. Leon , D. Perez-Garcia , D. Salgado , E. Solano

It is known that to imperfectly clone a phase-set of states uncorrelatedly is impossible due to the linearity and the hermitian-preservation of quantum operations deterministically shown by D'Ariano et al. In this paper we address…

Quantum Physics · Physics 2015-03-24 Yuji Sekino

The quantum mechanical no-cloning theorem for pure states is generalized and transfered to the quantum logics with a conditional probability calculus in a rather abstract, though simple and basic fashion without relying on a tensor product…

Quantum Physics · Physics 2015-08-14 Gerd Niestegge

The no-masking theorem for quantum information proves that it is impossible to encode an arbitrary input state into a larger bipartite entangled state such that the full information is stored in the correlation but the individual subsystems…

Quantum Physics · Physics 2024-08-19 Swapnil Bhowmick , Abhay Srivastav , Arun Kumar Pati

Equilibrium phase transitions between a normal and a photon condensate state (also known as superradiant phase transitions) are a highly debated research topic, where proposals for their occurrence and no-go theorems have chased each other…

Mesoscale and Nanoscale Physics · Physics 2022-12-26 G. M. Andolina , F. M. D. Pellegrino , A. Mercurio , O. Di Stefano , M. Polini , S. Savasta

Quantum computing promises to exploit the laws of quantum mechanics for processing information in ways fundamentally different from today's classical computers, leading to unprecedented efficiency. One-way quantum computation, sometimes…

We give a general proof showing that once irreversible processes are involved, a class of projective measurements is impossible. Applying this no-go result to the Schroedinger's cat paradox implies that if something is claimed to be a real…

Quantum Physics · Physics 2024-04-23 Guang Ping He

Implementing a qubit quantum computer in continuous-variable systems conventionally requires the engineering of specific interactions according to the encoding basis states. In this work, we present a unified formalism to conduct universal…

Quantum Physics · Physics 2016-09-06 Hoi-Kwan Lau , Martin B. Plenio

We introduce the concept of cloning for classes of observables and classify cloning machines for qubit systems according to the number of parameters needed to describe the class under investigation. A no-cloning theorem for observables is…

Quantum Physics · Physics 2009-11-11 Alessandro Ferraro , Matteo Galbiati , Matteo G. A. Paris

The covariance of the Schr\"odinger equation under Galilei boosts and the compatibility of nonrelativistic quantum mechanics with Einstein's equivalence principle have been constrained for so long to the existence of a superselection rule…

Quantum Physics · Physics 2015-02-13 S. T. Pereira , R. M. Angelo

A major challenge in photonic quantum technologies is developing strategies to prepare suitable discrete-variable quantum states using simple input states, linear optics, and auxiliary photon measurements to identify successful outcomes.…

Quantum Physics · Physics 2026-02-11 Deepesh Singh , Ryan J. Marshman , Luis Villegas-Aguilar , Jens Eisert , Nora Tischler

Einstein`s equivalence principle states the complete physical equivalence of a gravitational field and corresponding inertial field in an accelerated reference frame. However, to what extent the equivalence principle remains valid in…

Quantum Physics · Physics 2018-02-14 Stefano Longhi