Abstract
We present protocols to generate arbitrary photonic graph states from quantum emitters that are in principle deterministic. We focus primarily on two-dimensional cluster states of arbitrary size due to their importance for measurement-based quantum computing. Our protocols for these and many other types of two-dimensional graph states require a linear array of emitters in which each emitter can be controllably pumped, rotated about certain axes, and entangled with its nearest neighbors. We show that an error on one emitter produces a localized region of errors in the resulting graph state, where the size of the region is determined by the coordination number of the graph. We describe how these protocols can be implemented for different types of emitters, including trapped ions, quantum dots, and nitrogen-vacancy centers in diamond.
Highlights
Quantum information science holds the promise of providing novel capabilities and computational speedups for a host of problems related to computer science [1], secure communication [2,3,4,5,6], the simulation of physical systems [7, 8], and distributed computation [9,10,11,12]
We present protocols to generate arbitrary photonic graph states from quantum emitters that are in licence
We focus primarily on two-dimensional cluster states of arbitrary size due to
Summary
We present protocols to generate arbitrary photonic graph states from quantum emitters that are in licence. Any further distribution of this work must maintain their importance for measurement-based quantum computing Our protocols for these and many attribution to the other types of two-dimensional graph states require a linear array of emitters in which each emitter author(s) and the title of the work, journal citation can be controllably pumped, rotated about certain axes, and entangled with its nearest neighbors. Show that an error on one emitter produces a localized region of errors in the resulting graph state, where the size of the region is determined by the coordination number of the graph We describe how these protocols can be implemented for different types of emitters, including trapped ions, quantum dots, and nitrogen-vacancy centers in diamond
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