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We present the first examples of topological phases of matter with uniform power for measurement-based quantum computation. This is possible thanks to a new framework for analyzing the computational properties of phases of matter that is…

We consider symmetry as a foundational concept in quantum mechanics and rewrite quantum mechanics and measurement axioms in this description. We argue that issues related to measurements and physical reality of states can be better…

Quantum Physics · Physics 2018-04-11 Houri Ziaeepour

Different approaches in quantifying environmentally-induced decoherence are considered. We identify a measure of decoherence, derived from the density matrix of the system of interest, that quantifies the environmentally induced error,…

Mesoscale and Nanoscale Physics · Physics 2010-10-12 Arkady Fedorov , Leonid Fedichkin , Vladimir Privman

The ability to perform a universal set of quantum operations based solely on static resources and measurements presents us with a strikingly novel viewpoint for thinking about quantum computation and its powers. We consider the two major…

Quantum Physics · Physics 2007-05-23 Panos Aliferis , Debbie W. Leung

With quantum devices rapidly approaching qualities and scales needed for fault tolerance, the validity of simplified error models underpinning the study of quantum error correction needs to be experimentally evaluated. In this work, we have…

Quantum Physics · Physics 2024-12-11 Spiro Gicev , Lloyd C. L. Hollenberg , Muhammad Usman

We present a measure of quantum coherence by employing the concept of noncommutativity of operators in quantum mechanics. We analyse the behaviour of this noncommutative coherence and underline its similarities and differences with the…

Quantum Physics · Physics 2020-04-06 Shubhalakshmi S , Ujjwal Sen

Measurement has a special role in quantum theory: by collapsing the wavefunction it can enable phenomena such as teleportation and thereby alter the "arrow of time" that constrains unitary evolution. When integrated in many-body dynamics,…

Quantum Physics · Physics 2023-10-24 Jesse C. Hoke , Matteo Ippoliti , Eliott Rosenberg , Dmitry Abanin , Rajeev Acharya , Trond I. Andersen , Markus Ansmann , Frank Arute , Kunal Arya , Abraham Asfaw , Juan Atalaya , Joseph C. Bardin , Andreas Bengtsson , Gina Bortoli , Alexandre Bourassa , Jenna Bovaird , Leon Brill , Michael Broughton , Bob B. Buckley , David A. Buell , Tim Burger , Brian Burkett , Nicholas Bushnell , Zijun Chen , Ben Chiaro , Desmond Chik , Josh Cogan , Roberto Collins , Paul Conner , William Courtney , Alexander L. Crook , Ben Curtin , Alejandro Grajales Dau , Dripto M. Debroy , Alexander Del Toro Barba , Sean Demura , Augustin Di Paolo , Ilya K. Drozdov , Andrew Dunsworth , Daniel Eppens , Catherine Erickson , Edward Farhi , Reza Fatemi , Vinicius S. Ferreira , Leslie Flores Burgos , Ebrahim Forati , Austin G. Fowler , Brooks Foxen , William Giang , Craig Gidney , Dar Gilboa , Marissa Giustina , Raja Gosula , Jonathan A. Gross , Steve Habegger , Michael C. Hamilton , Monica Hansen , Matthew P. Harrigan , Sean D. Harrington , Paula Heu , Markus R. Hoffmann , Sabrina Hong , Trent Huang , Ashley Huff , William J. Huggins , Sergei V. Isakov , Justin Iveland , Evan Jeffrey , Cody Jones , Pavol Juhas , Dvir Kafri , Kostyantyn Kechedzhi , Tanuj Khattar , Mostafa Khezri , Mária Kieferová , Seon Kim , Alexei Kitaev , Paul V. Klimov , Andrey R. Klots , Alexander N. Korotkov , Fedor Kostritsa , John Mark Kreikebaum , David Landhuis , Pavel Laptev , Kim-Ming Lau , Lily Laws , Joonho Lee , Kenny W. Lee , Yuri D. Lensky , Brian J. Lester , Alexander T. Lill , Wayne Liu , Aditya Locharla , Orion Martin , Jarrod R. McClean , Matt McEwen , Kevin C. Miao , Amanda Mieszala , Shirin Montazeri , Alexis Morvan , Ramis Movassagh , Wojciech Mruczkiewicz , Matthew Neeley , Charles Neill , Ani Nersisyan , Michael Newman , Jiun H. Ng , Anthony Nguyen , Murray Nguyen , Murphy Yuezhen Niu , Tom E. O'Brien , Seun Omonije , Alex Opremcak , Andre Petukhov , Rebecca Potter , Leonid P. Pryadko , Chris Quintana , Charles Rocque , Nicholas C. Rubin , Negar Saei , Daniel Sank , Kannan Sankaragomathi , Kevin J. Satzinger , Henry F. Schurkus , Christopher Schuster , Michael J. Shearn , Aaron Shorter , Noah Shutty , Vlad Shvarts , Jindra Skruzny , W. Clarke Smith , Rolando D. Somma , George Sterling , Douglas Strain , Marco Szalay , Alfredo Torres , Guifre Vidal , Benjamin Villalonga , Catherine Vollgraff Heidweiller , Ted White , Bryan W. K. Woo , Cheng Xing , Z. Jamie. Yao , Ping Yeh , Juhwan Yoo , Grayson Young , Adam Zalcman , Yaxing Zhang , Ningfeng Zhu , Nicholas Zobrist , Harmut Neven , Ryan Babbush , Dave Bacon , Sergio Boixo , Jeremy Hilton , Erik Lucero , Anthony Megrant , Julian Kelly , Yu Chen , Vadim Smelyanskiy , Xiao Mi , Vedika Khemani , Pedram Roushan

The development of quantum walks in the context of quantum computation, as generalisations of random walk techniques, led rapidly to several new quantum algorithms. These all follow unitary quantum evolution, apart from the final…

Quantum Physics · Physics 2008-03-02 Viv Kendon

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…

Quantum Physics · Physics 2021-02-10 Rishabh Gupta , Rongxin Xia , Raphael D. Levine , Sabre Kais

The quantum properties of quantum measurements are indispensable resources in quantum information processing and have drawn extensive research interest. The conventional approach to reveal the quantum properties relies on the reconstruction…

Quantum Physics · Physics 2021-12-01 Liang Xu , Huichao Xu , Jie Xie , Hui Li , Lin Zhou , Feixiang Xu , Lijian Zhang

Applying post selection in each step of an iterated protocol leads to sensitive quantum dynamics that may be utilized to test and benchmark current quantum computers. An example of this type of protocols was originally proposed for the task…

Quantum Physics · Physics 2024-10-10 Adrian Ortega , Orsolya Kálmán , Tamás Kiss

In this work we investigate the relation between quantum measurements and decoherence, in order to formally express the necessity of the latter for obtaining an informative output from the former. To this aim, referring to the Von Neumann…

Quantum Physics · Physics 2015-06-23 Pietro Liuzzo-Scorpo , Alessandro Cuccoli , Paola Verrucchi

Quantum chemistry is among the most promising applications of quantum computing, offering the potential to solve complex electronic structure problems more efficiently than classical approaches. A critical component of any quantum algorithm…

Quantum Physics · Physics 2025-06-02 Smik Patel , Praveen Jayakumar , Tzu-Ching Yen , Artur F. Izmaylov

We consider measurement-based quantum computation using the state of a spin-lattice system in equilibrium with a thermal bath and free to evolve under its own Hamiltonian. Any single qubit measurements disturb the system from equilibrium…

Quantum Physics · Physics 2009-09-23 David Jennings , Andrzej Dragan , Sean D. Barrett , Stephen D. Bartlett , Terry Rudolph

The recently established resource theory of quantum coherence allows for a quantitative understanding of the superposition principle, with applications reaching from quantum computing to quantum biology. While different quantifiers of…

Robust quantum computation requires encoding delicate quantum information into degrees of freedom that are hard for the environment to change. Quantum encodings have been demonstrated in many physical systems by observing and correcting…

Quantum Physics · Physics 2017-11-08 Maika Takita , Andrew W. Cross , A. D. Córcoles , Jerry M. Chow , Jay M. Gambetta

Quantum machine learning seeks a computational advantage in data processing by evaluating functions of quantum states, such as their similarity, that can be classically intractable to compute. For quantum advantage to be possible, however,…

With the recent surge of interest in quantum computation, it has become very important to develop clear experimental tests for ``quantum behavior'' in a system. This issue has been addressed in the past in the form of the inequalities due…

Quantum Physics · Physics 2007-05-23 Rusko Ruskov , Alexander N. Korotkov , Ari Mizel

A large literature has grown up around the proposed use of 'weak measurements' (i.e., unsharp measurements followed by post-selection) to allegedly provide information about hidden ontological features of quantum systems. This paper…

Quantum Physics · Physics 2017-05-16 R. E. Kastner

The number of parameters describing a quantum state is well known to grow exponentially with the number of particles. This scaling clearly limits our ability to do tomography to systems with no more than a few qubits and has been used to…