qiskit-camp-asia-19 icon indicating copy to clipboard operation
qiskit-camp-asia-19 copied to clipboard

Efficient Quantum Tomography for Detecting Entanglement

Open rraymondhp opened this issue 5 years ago • 11 comments

Abstract

Suppose a salesman comes to you claiming that he has a 100-qubit quantum device that can create entanglement between all the qubits. How can you verify his claim? Surely, you can do quantum tomography, but that will be too expensive as up to now there is no more than full tomography for more than 10 qubits.

Description

An excellent paper on Quantum Overlapping Tomography (https://arxiv.org/abs/1908.02754) describes how to characterize all k-qubit quantum states of the n-qubit device. In particular, it is possible to measure the entanglement between every pair of qubits of a 100-qubit device within reasonable amount of time. The key techniques are parallel measurements and perfect hash families.

Examples of questions that may be interesting to address, include, e.g., how many qubits can be verified entangled at a given device? Namely, can we entangle all qubits of a 20-qubit device? What about the 53-qubit device?

Members

Some background knowledge in quantum physics (state tomography, measurements, etc.) and computer science (randomized algorithm, hash function, etc. Quick reading of the aforementioned paper is also required.

  • @githubhandle
  • @githubhandle - Slack: @slackhandle email: [email protected]
  • Qiskit Coach: @rraymondhp

Deliverable

A module for computing the reduced density matrices of a set of qubits in a device, or a paper.

GitHub repo

rraymondhp avatar Nov 18 '19 14:11 rraymondhp

This one looks interesting to me. Gary Mooney, Quantum Physics and Computer Science.

garymooney avatar Nov 19 '19 01:11 garymooney

I am interested. Tarun Raheja, Computer Science.

tehruhn avatar Nov 19 '19 01:11 tehruhn

I'm in. I'm Chia-Yi Ju, a physicist.

chiayiju avatar Nov 19 '19 01:11 chiayiju

I am interested. Huan-Yu, Physics.

huan-yu-20 avatar Nov 19 '19 01:11 huan-yu-20

Will add you all, thanks!

rraymondhp avatar Nov 19 '19 01:11 rraymondhp

I am in. I am wenbin, I am doing entanglement theory

zhou-wenbin avatar Nov 19 '19 01:11 zhou-wenbin

I can't seem to find you, where abouts are you in the room?

garymooney avatar Nov 19 '19 01:11 garymooney

i am in front..

rraymondhp avatar Nov 19 '19 01:11 rraymondhp

next to luciano

rraymondhp avatar Nov 19 '19 01:11 rraymondhp

We can't find you. We're at the table nearest to the entrance, to the left. We just walked by the stage and missed you.

tehruhn avatar Nov 19 '19 01:11 tehruhn

https://github.com/tehruhn/quantum-overlapping-tomo (Description in README)

tehruhn avatar Nov 20 '19 04:11 tehruhn