@misc{bibcite_16076, author = {Zbigniew Pucha{\l}a and Ryszard Kukulski and {\L}ukasz Pawela}, title = {Quantum Probabilistic Error Correction Method}, abstract = {

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{\textdagger}+N1XN1{\textdagger}. 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.

}, year = {2025}, chapter = {US 12,299,539 B2}, month = {05/2025}, address = {United States of America}, issn = {US 12,299,539 B2}, language = {eng}, }