# How to compute inner product of MPS with another MPS translated by 1 right sites
**URL:** https://discourse.julialang.org/t/how-to-compute-inner-product-of-mps-with-another-mps-translated-by-1-right-sites/128756
**Category:** New to Julia
**Tags:** question
**Created:** [May 6, 2025, 1:21pm UTC](https://discourse.julialang.org/t/how-to-compute-inner-product-of-mps-with-another-mps-translated-by-1-right-sites/128756 "2025-05-06T13:21:14Z")
**Posts on this page:** 3
**Page:** 1
### Author:  [@Juan\_D](https://discourse.julialang.org/u/Juan_D)
#### Post date: [May 6, 2025, 1:21pm UTC](https://discourse.julialang.org/t/how-to-compute-inner-product-of-mps-with-another-mps-translated-by-1-right-sites/128756/1 "2025-05-06T13:21:14Z")
Hello everyone,
I would like to ask if there is a way to compute the inner product ⟨ψ | T₁ | ψ⟩, where T₁ is a cyclic translation operator that shifts site n-to-n+1, by successively applying ITensor’s `movesite` functions, without the need to explicitly build an MPO for T₁.
Could this be considered a correct interpretation?
I would appreciate any help or insights you can provide.
Best regards,
Juan.
---
### Author:  [@juthohaegeman](https://discourse.julialang.org/u/juthohaegeman)
#### Post date: [May 6, 2025, 7:33pm UTC](https://discourse.julialang.org/t/how-to-compute-inner-product-of-mps-with-another-mps-translated-by-1-right-sites/128756/3 "2025-05-06T19:33:37Z")
I had overlooked that your post mentions ITensor, so I thought it was impossible to solve without further details. Possibly you will get faster response on ITensor’s dedicated forum:
> **[ITensor Discourse](https://itensor.discourse.group)**
>
> Discussion of the ITensor software and related packages
---
### Author:  [@Juan\_D](https://discourse.julialang.org/u/Juan_D)
#### Post date: [May 6, 2025, 8:10pm UTC](https://discourse.julialang.org/t/how-to-compute-inner-product-of-mps-with-another-mps-translated-by-1-right-sites/128756/4 "2025-05-06T20:10:43Z")
Thank you for the help! I will write in the forum.