In the ion trap community there is a bit of a divide between what is the right size of an ion chain. On the one hand, small ion chains have been shown to have incredible fidelities. On the other hand, long ion chains allow you to grow Hilbert space more easily.
There are two main camps: (1) shuttling with 2-4 ion chains is the best and (2) the longest chain that works is the best. Here we study what is the best ion chain length in an architecture that has long chains and shuttling. It turns out to depend on the application.
The collaboration between Duke and Princeton made possible by @NSF@EPiQCExpedition.
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The @bacon-@PeterShor1 code project has been a great collaboration with Chris Monroe's group @JQInews and my group @DukeEngineering@DukePhysics@GTCSE. It is an amazing experiment with excellent control over 13 ions in a chain of 15 ions. Here is a thread about the theory. 1/n
In 2005, @dabacon (typo in 1/n whoops) was looking for a stable quantum memory and posted a subsystem version of Shor's code arxiv.org/abs/quant-ph/0…. Immediately David Poulin released a paper showing how it connected to the stabilizer formalism arxiv.org/abs/quant-ph/0… 3/n
I agree with @abe_asfaw and @crazy4pi314 that the Bloch sphere doesn't help that much understanding larger quantum systems. However, there is an interesting set of counter examples.
The Bloch sphere needs two non-commuting Pauli matrices. Any two. They could be k-qubit Pauli matrices.
This was used by @nmrqip to show how to use single-qubit composite pulses to make two-qubit gates robust to systematic error. arxiv.org/abs/quant-ph/0…
@Huang_Shilin first developed the weighted union-find decoder to look at the whole family of compass codes but using a slightly non-standard error model. arxiv.org/abs/1911.11317
In this paper (arxiv vesrsion her arxiv.org/abs/2004.04693), Mike and Shilin use the standard error model and find that even truncated weights give great performance.
Congratulations to Pak Hong (James) Leung for successfully defending his PhD on "Robust Ion Trap Quantum Computation Enabled by Quantum Control." @DukePhysics@DukeTrinity#DukeQuantum
The #SummerSTAQ 2020 lecture notes, recorded lectures, problem sets, and discussion sections are now all available openly here. Enjoy and think about joining as a student or lecturer for #SummerSTAQ 2021. staq.pratt.duke.edu/summer-school
When I was a grad student QC funding was the wild west because nothing worked and the government was trying to see if anything worked. This ended in a strange way where some program calls were made and then mysteriously canceled right around when I became a postdoc 2003-4
I think of this as "the first quantum winter" and was bad for QC grad students trying to become faculty in the US. Anyway, the next time there was a call for proposals everyone ignored the last weird time but Jon.