  This paper studies secure multiparty quantum computation (SMQC) without
nonlocal measurements. Firstly, this task is reduced to secure two-party
quantum computation of nonlocal controlled-NOT (NL-CNOT) gate. Then, in the
passive adversaries model, the secure computation of NL-CNOT is reduced to bit
commitment. Thus, a SMQC scheme can be constructed based on bit commitment.
This scheme does not depend on trusted third party, and is secure in the
passive adversaries model. It is also pointed out that a vulnerability exists
in any secure two-party quantum computation protocol of NL-CNOT gate.
