# Folded MPS state with Mid-circuit measurement

Among some documents I found to make a MPS state on quantum circuit, I can make it with stepped arrangement of unitary operators.

|0>--U-----M
|
|0>--U--U--M
|
|0>-----U--M


And also Honeywell or IBM machine support Mid-circuit measurement and qubit reuse, which we can fold this quantum circuit like,

|0>--U--M |0>--U--M
|         |
|0>--U---------U--M


How can I think about bond dimension on this quantum circuit? Do I have to use multiple qubits to make larger number of bond dimension on MPS state?

• Can you explain what U and what M is? Are the two U's connected by a vertical line one big unitary? And what's the point of the folding picture with regard to your question? Mar 12 at 21:59
• yes thank you. M is measurement and U is a large unitary with one qubit arbitrary rotation and two qubits arbitrary rotations.
– gojo
Mar 14 at 2:24