01509nas a2200145   4500000000100000000000100001008004100002260003800043100002200081700002100103700001900124245005000143520114900193022002101342       2025                            d  c05/2025aUnited States of America1 aZbigniew Puchała1 aRyszard Kukulski1 aŁukasz Pawela00aQuantum Probabilistic Error Correction Method3 a<p>A quantum computer implemented probabilistic error correction method for use with quantum circuits with a noise channel N(X) that has a Choi rank not greater than two, such as N(X)=N0XN0†+N1XN1†. The method comprising steps of: encoding a first qubit into an encoded state ?ψ , putting a second qubit into an arbitrary fixed state ?d1 , implementing two qubit unitary operation UE on the first qubit and the second qubit to obtain an encoded state UE(?ψ ^?d1 ), and after the encoded state is affected by the noise N(X), implementing two qubit unitary operation UD, followed by measuring the second qubit in the {?d2 , ?d2⊥ } basis measurement to obtain a classical label i∈{0,1}, next preparing a third qubit in the arbitrary fixed state ?d3 , and implementing two qubit unitary operation VD on the first qubit and the third qubit, followed by measuring the third qubit in the {?d4 , ?d4⊥ } basis measurement to obtain a classical label j∈{0,1}, and when (i,j)=(0,0) accepting as an output δexp a decoded state of the first qubit, and when (i,j)≠(0,0) rejecting the output δexp of a decoded state of the first qubit.</p>
  aUS 12,299,539 B2