The current implementation of the __quantum__qis__measure__body (https://github.com/qir-alliance/qcor/blob/master/mlir/qir_qrt/qir-qis-ms-compat.cpp#L341) will perform independent measurements of each qubit when multiple bases are passed. For example, if the measurement bases [Z, Z] are specified, the first qubit is measured and projects the state, then the second qubit is measured and again projects the state.
For a bell pair |00> + |11> (ignoring normalization factors) the current implementation will result in storing the bit 0 50% of the time, and the state will be projected into |00>, and will result in storing the bit 1 50% of the time with the state projected into |11>. This is incorrect as it does not follow the description outlined in https://learn.microsoft.com/en-us/qsharp/api/qsharp/microsoft.quantum.intrinsic.measure
The correct implementation is a parity measurement for [Z, Z], which deterministically returns 0 for the bell pair |00> + |11> and leaves the state as is without disturbing it.
The current implementation of the __quantum__qis__measure__body (https://github.com/qir-alliance/qcor/blob/master/mlir/qir_qrt/qir-qis-ms-compat.cpp#L341) will perform independent measurements of each qubit when multiple bases are passed. For example, if the measurement bases [Z, Z] are specified, the first qubit is measured and projects the state, then the second qubit is measured and again projects the state.
For a bell pair |00> + |11> (ignoring normalization factors) the current implementation will result in storing the bit 0 50% of the time, and the state will be projected into |00>, and will result in storing the bit 1 50% of the time with the state projected into |11>. This is incorrect as it does not follow the description outlined in https://learn.microsoft.com/en-us/qsharp/api/qsharp/microsoft.quantum.intrinsic.measure
The correct implementation is a parity measurement for [Z, Z], which deterministically returns 0 for the bell pair |00> + |11> and leaves the state as is without disturbing it.