Nielsen, M. A. & Chuang, I. L. Quantum Computation and Quantum Information 10th Anniversary Edition (Cambridge Univ. Press, 2010).<\/p>\n
Horodecki, R., Horodecki, P., Horodecki, M. & Horodecki, K. Quantum entanglement. Rev. Mod. Phys. 81, 865\u2013942 (2009).<\/p>\n
Article<\/a>\u00a0 Amico, L., Fazio, R., Osterloh, A. & Vedral, V. Entanglement in many-body systems. Rev. Mod. Phys. 80, 517\u2013576 (2008).<\/p>\n Article<\/a>\u00a0 McCutcheon, W. et al. Experimental verification of multipartite entanglement in quantum networks. Nat. Commun. 7, 13251 (2016).<\/p>\n Article<\/a>\u00a0 Jozsa, R. Entanglement and quantum computation. in The Geometric Universe (eds Huggett, S. A. et al.) Ch. 27 (Oxford Univ. Press, 1998).<\/p>\n Graham, T. M. et al. Multi-qubit entanglement and algorithms on a neutral-atom quantum computer. Nature 602, 63\u201368 (2022).<\/p>\n Barz, S. et al. Demonstration of blind quantum computing. Science 335, 303\u2013308 (2012).<\/p>\n Article<\/a>\u00a0 Raussendorf, R. & Briegel, H. J. A one-way quantum computer. Phys. Rev. Lett. 86, 5188\u20135191 (2001).<\/p>\n Article<\/a>\u00a0 Raussendorf, R., Browne, D. E. & Briegel, H. J. Measurement-based quantum computation on cluster states. Phys. Rev. A 68, 22312 (2003).<\/p>\n Article<\/a>\u00a0 Briegel, H. J., Browne, D. E., D\u00fcr, W., Raussendorf, R. & Van den Nest, M. Measurement-based quantum computation. Nat. Phys. 5, 19\u201326 (2009).<\/p>\n Article<\/a>\u00a0 Greganti, C., Roehsner, M.-C., Barz, S., Morimae, T. & Walther, P. Demonstration of measurement-only blind quantum computing. New J. Phys. 18, 13020 (2016).<\/p>\n Article<\/a>\u00a0 Raussendorf, R., Harrington, J. & Goyal, K. A fault-tolerant one-way quantum computer. Ann. Phys. 321, 2242\u20132270 (2006).<\/p>\n Article<\/a>\u00a0 Raussendorf, R. & Harrington, J. Fault-tolerant quantum computation with high threshold in two dimensions. Phys. Rev. Lett. 98, 190504 (2007).<\/p>\n Larsen, M. V. et al. Fault-tolerant continuous-variable measurement-based quantum computation architecture. PRX Quantum 2, 030325 (2021).<\/p>\n Azses, D. et al. Identification of symmetry-protected topological states on noisy quantum computers. Phys. Rev. Lett. 125, 120502 (2020).<\/p>\n Article<\/a>\u00a0 Paszko, D., Rose, D. C., Szyma\u0144ska, M. H. & Pal, A. Edge modes and symmetry-protected topological states in open quantum systems. PRX Quantum 5, 30304 (2024).<\/p>\n Article<\/a>\u00a0 Else, D. V., Schwarz, I., Bartlett, S. D. & Doherty, A. C. Symmetry-protected phases for measurement-based quantum computation. Phys. Rev. Lett. 108, 240505 (2012).<\/p>\n Article<\/a>\u00a0 Nautrup, H. P. & Wei, T.-C. Symmetry-protected topologically ordered states for universal quantum computation. Phys. Rev. A 92, 52309 (2015).<\/p>\n Article<\/a>\u00a0 Liao, P., Sanders, B. C. & Feder, D. L. Topological graph states and quantum error-correction codes. Phys. Rev. A 105, 42418 (2022).<\/p>\n Article<\/a>\u00a0 Brown, B. J. & Roberts, S. Universal fault-tolerant measurement-based quantum computation. Phys. Rev. Res. 2, 33305 (2020).<\/p>\n Article<\/a>\u00a0 Cao, S. et al. Generation of genuine entanglement up to 51 superconducting qubits. Nature 619, 738\u2013742 (2023).<\/p>\n Article<\/a>\u00a0 Ferreira, V. S., Kim, G., Butler, A., Pichler, H. & Painter, O. Deterministic generation of multidimensional photonic cluster states with a single quantum emitter. Phys. Rev. Lett. 129, 260501 (2022).<\/p>\n Paesani, S. & Brown, B. J. High-threshold quantum computing by fusing one-dimensional cluster states. Phys. Rev. Lett. 131, 120603 (2023).<\/p>\n Article<\/a>\u00a0 Carrera Vazquez, A. et al. Combining quantum processors with real-time classical communication. Nature 636, 75\u201379 (2024).<\/p>\n Article<\/a>\u00a0 Lanyon, B. P. et al. Measurement-based quantum computation with trapped ions. Phys. Rev. Lett. 111, 210501 (2013).<\/p>\n Article<\/a>\u00a0 Bluvstein, D. et al. A quantum processor based on coherent transport of entangled atom arrays. Nature 604, 451\u2013456 (2022).<\/p>\n Article<\/a>\u00a0 Bao, Z. et al. Creating and controlling global Greenberger-Horne-Zeilinger entanglement on quantum processors. Nat. Commun. 15, 8823 (2024).<\/p>\n Article<\/a>\u00a0 Song, C. et al. Generation of multicomponent atomic Schr\u00f6dinger cat states of up to 20 qubits. Science 365, 574\u2013577 (2019).<\/p>\n Article<\/a>\u00a0 Cao, H. et al. A photonic source of heralded GHZ states. Phys. Rev. Lett. 132, 130604 (2023).<\/p>\n Article<\/a>\u00a0 Pont, M. et al. High-fidelity four-photon GHZ states on chip. npj Quantum Inf. 9, 50 (2024).<\/p>\n Article<\/a>\u00a0 Ladd, T. D. et al. Quantum computers. Nature 464, 45\u201353 (2010).<\/p>\n Article<\/a>\u00a0 Wang, X.-L. et al. 18-qubit entanglement with six photons\u2019 three degrees of freedom. Phys. Rev. Lett. 120, 260502 (2018).<\/p>\n Article<\/a>\u00a0 Omran, A. et al. Generation and manipulation of Schr\u00f6dinger cat states in Rydberg atom arrays. Science 365, 570\u2013574 (2019).<\/p>\n Article<\/a>\u00a0 Gong, M. et al. Genuine 12-qubit entanglement on a superconducting quantum processor. Phys. Rev. Lett. 122, 110501 (2019).<\/p>\n Article<\/a>\u00a0 Thomas, P., Ruscio, L., Morin, O. & Rempe, G. Efficient generation of entangled multiphoton graph states from a single atom. Nature 608, 677\u2013681 (2022).<\/p>\n Article<\/a>\u00a0 Yan, F. et al. Tunable coupling scheme for implementing high-fidelity two-qubit gates. Phys. Rev. Appl. 10, 54062 (2018).<\/p>\n Article<\/a>\u00a0 Klimov, P. V. et al. Optimizing quantum gates towards the scale of logical qubits. Nat. Commun. 15, 2442 (2024).<\/p>\n Article<\/a>\u00a0 Sung, Y. et al. Realization of high-fidelity CZ and ZZ-free iSWAP gates with a tunable coupler. Phys. Rev. X 11, 21058 (2021).<\/p>\n Bengtsson, A. et al. Model-based optimization of superconducting qubit readout. Phys. Rev. Lett. 132, 100603 (2024).<\/p>\n Article<\/a>\u00a0 Blais, A., Grimsmo, A. L., Girvin, S. M. & Wallraff, A. Circuit quantum electrodynamics. Rev. Mod. Phys. 93, 25005 (2021).<\/p>\n Article<\/a>\u00a0 Jeffrey, E. et al. Fast accurate state measurement with superconducting qubits. Phys. Rev. Lett. 112, 190504 (2014).<\/p>\n Article<\/a>\u00a0 Macklin, C. et al. A near\u2013quantum-limited Josephson traveling-wave parametric amplifier. Science 350, 307\u2013310 (2015).<\/p>\n Article<\/a>\u00a0 Woods, W. et al. Determining interface dielectric losses in superconducting coplanar-waveguide resonators. Phys. Rev. Appl. 12, 14012 (2019).<\/p>\n Article<\/a>\u00a0 Murray, C. E., Gambetta, J. M., McClure, D. T. & Steffen, M. Analytical determination of participation in superconducting coplanar architectures. IEEE Trans. Microw. Theory Techn. 66, 3724\u20133733 (2018).<\/p>\n Article<\/a>\u00a0 Wenner, J. et al. Surface loss simulations of superconducting coplanar waveguide resonators. Appl. Phys. Lett. 99, 113513 (2011).<\/p>\n Kamakari, H., Sun, S.-N., Motta, M. & Minnich, A. J. Digital quantum simulation of open quantum systems using quantum imaginary\u2013time evolution. PRX Quantum 3, 10320 (2022).<\/p>\n Article<\/a>\u00a0 Ferracin, S. et al. Efficiently improving the performance of noisy quantum computers. Quantum 8, 1410 (2024).<\/p>\n Article<\/a>\u00a0 Maurya, S., Mude, C. N., Oliver, W. D., Lienhard, B. & Tannu, S. Scaling qubit readout with hardware efficient machine learning architectures. In Proc. 50th Annual International Symposium on Computer Architecture 1\u201313 (Association for Computing Machinery, 2023).<\/p>\n Karamlou, A. H. et al. Probing entanglement in a 2D hard-core Bose\u2013Hubbard lattice. Nature 629, 561\u2013566 (2024).<\/p>\n Article<\/a>\u00a0 Guo, Y. & Yang, S. Noise effects on purity and quantum entanglement in terms of physical implementability. npj Quantum Inf. 9, 11 (2023).<\/p>\n Article<\/a>\u00a0 Krastanov, S., de la Cerda, A. S. & Narang, P. Heterogeneous multipartite entanglement purification for size-constrained quantum devices. Phys. Rev. Res. 3, 33164 (2021).<\/p>\n Article<\/a>\u00a0 De L\u00e9s\u00e9leuc, S. et al. Observation of a symmetry-protected topological phase of interacting bosons with rydberg atoms. Science 365, 775\u2013780 (2019).<\/p>\n Article<\/a>\u00a0 Walther, P. et al. Experimental one-way quantum computing. Nature 434, 169\u2013176 (2005).<\/p>\n Article<\/a>\u00a0 Tame, M. S. et al. Experimental realization of Deutsch\u2019s algorithm in a one-way quantum computer. Phys. Rev. Lett. 98, 140501 (2007).<\/p>\n Article<\/a>\u00a0 G\u00fchne, O. & T\u00f3th, G. Entanglement detection. Phys. Rep. 474, 1\u201375 (2009).<\/p>\n Article<\/a>\u00a0 Flammia, S. T. & Liu, Y.-K. Direct fidelity estimation from few Pauli measurements. Phys. Rev. Lett. 106, 230501 (2011).<\/p>\n Article<\/a>\u00a0 Place, A. P. M. et al. New material platform for superconducting transmon qubits with coherence times exceeding 0.3 milliseconds. Nat. Commun. 12, 1779 (2021).<\/p>\n Article<\/a>\u00a0 Wu, Y. et al. Strong quantum computational advantage using a superconducting quantum processor. Phys. Rev. Lett. 127, 180501 (2021).<\/p>\n Article<\/a>\u00a0 Bravyi, S., Sheldon, S., Kandala, A., Mckay, D. C. & Gambetta, J. M. Mitigating measurement errors in multiqubit experiments. Phys. Rev. A: At., Mol., Opt. Phys. 103, 42605 (2021).<\/p>\n Article<\/a>\u00a0 Miller, J. & Miyake, A. Resource quality of a symmetry-protected topologically ordered phase for quantum computation. Phys. Rev. Lett. 114, 120506 (2015).<\/p>\n Article<\/a>\u00a0 Chirame, S., Burnell, F. J., Gopalakrishnan, S. & Prem, A. Stable symmetry-protected topological phases in systems with heralded noise. Phys. Rev. Lett. 134, 10403 (2025).<\/p>\n Article<\/a>\u00a0 Raussendorf, R., Okay, C., Wang, D.-S., Stephen, D. T. & Nautrup, H. P. Computationally universal phase of quantum matter. Phys. Rev. Lett. 122, 90501 (2019).<\/p>\n Article<\/a>\u00a0 Stephen, D. T., Wang, D.-S., Prakash, A., Wei, T.-C. & Raussendorf, R. Computational power of symmetry-protected topological phases. Phys. Rev. Lett. 119, 10504 (2017).<\/p>\n Article<\/a>\u00a0 Deutsch, D. & Jozsa, R. Rapid solution of problems by quantum computation. Proc. R. Soc. Lond. A: Math. Phys. Sci. 439, 553\u2013558 (1992).<\/p>\n Article<\/a>\u00a0 Broadbent, A. & Kashefi, E. Parallelizing quantum circuits. Theor. Comput. Sci. 410, 2489\u20132510 (2009).<\/p>\n Article<\/a>\u00a0 Lee, W.-R., Qin, Z., Raussendorf, R., Sela, E. & Scarola, V. W. Measurement-based time evolution for quantum simulation of fermionic systems. Phys. Rev. Res. 4, L032013 (2022).<\/p>\n Article<\/a>\u00a0 de Oliveira, M., Barbosa, L. S. & Galv\u00e3o, E. F. Quantum advantage in temporally flat measurement-based quantum computation. Quantum 8, 1312 (2024).<\/p>\n Article<\/a>\u00a0 Kaldenbach, T. N. & Heller, M. Mapping quantum circuits to shallow-depth measurement patterns based on graph states. Quantum Sci. Technol. 10, 15010 (2024).<\/p>\n Article<\/a>\u00a0 Bourassa, J. E. et al. Blueprint for a scalable photonic fault-tolerant quantum computer. Quantum 5, 392 (2021).<\/p>\n Article<\/a>\u00a0 Brown, B. J., Nickerson, N. H. & Browne, D. E. Fault-tolerant error correction with the gauge color code. Nat. Commun. 7, 12302 (2016).<\/p>\n Article<\/a>\u00a0 Campbell, E. T., Terhal, B. M. & Vuillot, C. Roads towards fault-tolerant universal quantum computation. Nature 549, 172\u2013179 (2017).<\/p>\n Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n MathSciNet<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n MathSciNet<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n MathSciNet<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n MathSciNet<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n MathSciNet<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n MathSciNet<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n MathSciNet<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n MathSciNet<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n MathSciNet<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n MathSciNet<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n MathSciNet<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n MathSciNet<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n MathSciNet<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n MathSciNet<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n","protected":false},"excerpt":{"rendered":"Nielsen, M. A. & Chuang, I. L. Quantum Computation and Quantum Information 10th Anniversary Edition (Cambridge Univ. Press,…\n","protected":false},"author":2,"featured_media":324966,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[24],"tags":[8005,8004,8008,2298,2294,8003,8006,111,139,69,8007,393,8756,147,8002,17639],"class_list":{"0":"post-324965","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-physics","8":"tag-atomic","9":"tag-classical-and-continuum-physics","10":"tag-complex-systems","11":"tag-condensed-matter-physics","12":"tag-general","13":"tag-mathematical-and-computational-physics","14":"tag-molecular","15":"tag-new-zealand","16":"tag-newzealand","17":"tag-nz","18":"tag-optical-and-plasma-physics","19":"tag-physics","20":"tag-quantum-information","21":"tag-science","22":"tag-theoretical","23":"tag-topological-matter"},"_links":{"self":[{"href":"https:\/\/www.newsbeep.com\/nz\/wp-json\/wp\/v2\/posts\/324965","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.newsbeep.com\/nz\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.newsbeep.com\/nz\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.newsbeep.com\/nz\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.newsbeep.com\/nz\/wp-json\/wp\/v2\/comments?post=324965"}],"version-history":[{"count":0,"href":"https:\/\/www.newsbeep.com\/nz\/wp-json\/wp\/v2\/posts\/324965\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.newsbeep.com\/nz\/wp-json\/wp\/v2\/media\/324966"}],"wp:attachment":[{"href":"https:\/\/www.newsbeep.com\/nz\/wp-json\/wp\/v2\/media?parent=324965"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.newsbeep.com\/nz\/wp-json\/wp\/v2\/categories?post=324965"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.newsbeep.com\/nz\/wp-json\/wp\/v2\/tags?post=324965"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}