From acd1f70d84620ac5cd9406d69a992a1a95aafeef Mon Sep 17 00:00:00 2001 From: David Wierichs Date: Wed, 9 Oct 2024 11:36:29 +0200 Subject: [PATCH] Demo on " Constant-depth preparation of matrix product states with dynamic circuits" (#1185) MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit **Title:** Constant-depth preparation of matrix product states with dynamic circuits **Summary:** Matrix product states (MPS) form an important class of quantum many-body states. Preparing them is an important subroutine for any algorithm that want to use MPS as an initial state, for example. A recent paper, on which this demo is based, and which it is following closely, generalized a method that reduces the depth of such a preparation circuit to constant scaling, by using auxiliary qubits and dynamic quantum circuits (mid-circuit measurements together with classical feedforward). We here focus on the simplest scenario in the main text of the paper, and implement a simple example in code. The implemented MPS has a parameter controlling the correlation length of the prepared state, which we verify explicitly. **Relevant references:** https://arxiv.org/pdf/2404.16083 https://arxiv.org/pdf/quant-ph/0501096 https://journals.aps.org/prxquantum/pdf/10.1103/PRXQuantum.4.020315 **Possible Drawbacks:** **Related GitHub Issues:** ---- If you are writing a demonstration, please answer these questions to facilitate the marketing process. * GOALS — Why are we working on this now? Mid-circuit measurements recently are/were a focus point in PennyLane. MPS states are used in some quantum chemistry algorithms as initial state. * AUDIENCE — Who is this for? Researchers in quantum algorithms * KEYWORDS — What words should be included in the marketing post? TBD * Which of the following types of documentation is most similar to your file? (more details [here](https://www.notion.so/xanaduai/Different-kinds-of-documentation-69200645fe59442991c71f9e7d8a77f8)) - [ ] Tutorial - [x] Demo - [ ] How-to [sc-64275] --------- Co-authored-by: Korbinian Kottmann <43949391+Qottmann@users.noreply.github.com> Co-authored-by: Ivana Kurečić --- ...humbnail_large_constant_depth_mps_prep.png | Bin 0 -> 158792 bytes .../OGthumbnail_constant_depth_mps_prep.png | Bin 0 -> 153556 bytes .../thumbnail_constant_depth_mps_prep.png | Bin 0 -> 34854 bytes .../constant_depth_mps_prep/algorithm.png | Bin 0 -> 284568 bytes .../algorithm_preview.png | Bin 0 -> 149900 bytes .../constant_depth_mps_prep/fusion.png | Bin 0 -> 48908 bytes .../operator_pushing.png | Bin 0 -> 34657 bytes .../operator_pushing_example.png | Bin 0 -> 95604 bytes .../constant_depth_mps_prep/sequential.png | Bin 0 -> 106521 bytes ...rial_constant_depth_mps_prep.metadata.json | 47 + .../tutorial_constant_depth_mps_prep.py | 851 ++++++++++++++++++ 11 files changed, 898 insertions(+) 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