  We present a protocol to experimentally measure the infinite-temperature
out-of-time-ordered correlation (OTOC) -- which is a probe of quantum
information scrambling in a system -- for systems with a Hamiltonian which has
either a chiral symmetry or a particle-hole symmetry. We show that the OTOC can
be obtained by preparing two entangled systems, evolving them with the
Hamiltonian, and measuring appropriate local observables. At the cost of
requiring two copies of the system and putting restrictions on the
Hamiltonian's symmetries, we show that our method provides some advantages over
existing methods -- it can be implemented without reversing the sign of the
Hamiltonian, it requires fewer measurements than schemes based on implementing
the SWAP operator, and it is robust to imperfections like some earlier methods.
Our ideas can be implemented in currently available quantum platforms.
