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In this article, we analyze the necessary resources to implement a quantum simulation of fermions and bosons with trapped ions [20, 22 24].
Here we present a brief description of a set up that can be used to implement a quantum walk scheme able to generate the sort of coherent state superpositions addressed in our analysis so far.
Finally, as the entanglement distribution step is affected by losses, we present in Section 7 how to implement a quantum repeater based on weak measurements in a cQED setup, in order to allow the entanglement sharing at larger distances.
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"It's not obvious that they've implemented a quantum algorithm".
A suitable mapping allows to realise the unphysical operation in the simulated dynamics by implementing a quantum gate on an enlarged quantum system.
As any quantum circuit can be reduced to a succession of single- and two-qubit operations [24], the most straightforward approach is to introduce TLRs containing each exactly two TQs; in this way TLRs realize the set (mathcal{P}) of all two-qubit couplings necessary to implement a given quantum circuit, see Figure 1. Figure 1 Two-dimensional lattice of qubits (black dots).
The standard approach for implementing a specific quantum gate (hat {mathbf {O}}) using optimal control theory is to maximize the overlap between the time evolution (hat {mathbf {U}}(T,0 epsilon(t))) under the control (epsilon(t)) and the target gate [19].
The original conception of a quantum simulator [1] as a device that implements an involved quantum dynamics in a more amenable quantum system has given rise to a wealth of experiments in a wide variety of quantum platforms such as cold atoms, trapped ions, superconducting circuits and photonics networks [2 5].
The oracle is implemented with a quantum circuit which takes inputs like \(\lvert x,y\rangle\) to \(\lvert x, y\oplus f (x)\rangle\), where \(\oplus\) is addition modulo two, which is exactly what a XOR gate does.
In this work we show how to implement a Rindler transformation in an embedded quantum simulator.
We show how to implement a Rindler transformation of coordinates with an embedded quantum simulator.
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