scholarly journals Cluster States from Gaussian States: Essential Diagnostic Tools for Continuous-Variable One-Way Quantum Computing

PRX Quantum ◽  
2021 ◽  
Vol 2 (3) ◽  
Author(s):  
Carlos González-Arciniegas ◽  
Paulo Nussenzveig ◽  
Marcelo Martinelli ◽  
Olivier Pfister
Keyword(s):  
Quantum Computing ◽  
Continuous Variable ◽  
Diagnostic Tools ◽  
Cluster States ◽  
Gaussian States

scholarly journals Generation of time-domain-multiplexed two-dimensional cluster state

Science ◽  
2019 ◽  
Vol 366 (6463) ◽  
pp. 373-376 ◽  
Author(s):  
Warit Asavanant ◽  
Yu Shiozawa ◽  
Shota Yokoyama ◽  
Baramee Charoensombutamon ◽  
Hiroki Emura ◽  
...  
Keyword(s):  
Quantum Computing ◽  
Large Scale ◽  
Cluster State ◽  
Continuous Variable ◽  
Error Correcting Codes ◽  
Square Lattice ◽  
Two Dimensional ◽  
Report Generation ◽  
Cluster States ◽  
Variable Cluster

Entanglement is the key resource for measurement-based quantum computing. It is stored in quantum states known as cluster states, which are prepared offline and enable quantum computing by means of purely local measurements. Universal quantum computing requires cluster states that are both large and possess (at least) a two-dimensional topology. Continuous-variable cluster states—based on bosonic modes rather than qubits—have previously been generated on a scale exceeding one million modes, but only in one dimension. Here, we report generation of a large-scale two-dimensional continuous-variable cluster state. Its structure consists of a 5- by 1240-site square lattice that was tailored to our highly scalable time-multiplexed experimental platform. It is compatible with Bosonic error-correcting codes that, with higher squeezing, enable fault-tolerant quantum computation.

scholarly journals Experimental generation of four-mode continuous-variable cluster states

2008 ◽  
Vol 78 (1) ◽  
Author(s):  
Mitsuyoshi Yukawa ◽  
Ryuji Ukai ◽  
Peter van Loock ◽  
Akira Furusawa
Keyword(s):  
Continuous Variable ◽  
Cluster States ◽  
Variable Cluster

scholarly journals Client-friendly continuous-variable blind and verifiable quantum computing

2019 ◽  
Vol 100 (6) ◽  
Author(s):  
Nana Liu ◽  
Tommaso F. Demarie ◽  
Si-Hui Tan ◽  
Leandro Aolita ◽  
Joseph F. Fitzsimons
Keyword(s):  
Quantum Computing ◽  
Continuous Variable

scholarly journals Fidelity-based unitary operation-induced quantum correlation for continuous-variable systems

2019 ◽  
Vol 17 (04) ◽  
pp. 1950035
Author(s):  
Liang Liu ◽  
Xiaofei Qi ◽  
Jinchuan Hou
Keyword(s):  
Quantum Correlation ◽  
Quantum Correlations ◽  
Continuous Variable ◽  
Gaussian Channel ◽  
Simple Computation ◽  
Gaussian States ◽  
Text Mode ◽  
Computation Formula ◽  
Geometric Measurement ◽  
Thermal States

We propose a measure of nonclassical correlation [Formula: see text] in terms of local Gaussian unitary operations based on square of the fidelity [Formula: see text] for bipartite continuous-variable systems. This quantity is easier to be calculated or estimated and is a remedy for the local ancilla problem associated with the geometric measurement-induced nonlocality. A simple computation formula of [Formula: see text] for any [Formula: see text]-mode Gaussian states is presented and an estimation of [Formula: see text] for any [Formula: see text]-mode Gaussian states is given. For any [Formula: see text]-mode Gaussian states, [Formula: see text] does not increase after performing a local Gaussian channel on the unmeasured subsystem. Comparing [Formula: see text] in scale with other quantum correlations such as Gaussian geometric discord for two-mode symmetric squeezed thermal states reveals that [Formula: see text] is much better in detecting quantum correlations of Gaussian states.

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