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Table 1 Subsets of Heisenberg parameters \(\mathcal {H_{CD}}\) for which circuits are constant-depth. The rows denote the direction of the external field or a lack of a field. The columns denote the non-zero coupling parameters. Table entries marked with an × denote parameter sets that represent Hamiltonians for which our constant-depth circuits work

From: Constant-depth circuits for dynamic simulations of materials on quantum computers

 

Jx

Jy

Jz

Jx+Jy

Jx+Jz

Jy+Jz

Jx+Jy+Jz

x

×

×

×

  

×

 

y

×

×

×

 

×

  

z

×

×

×

×

   

\(\varnothing \)

×

×

×

×

×

×

Â