  We propose and benchmark a modified time evolution block decimation (TEBD)
algorithm that uses a truncation scheme based on the QR decomposition instead
of the singular value decomposition (SVD). The modification reduces the scaling
with the dimension of the physical Hilbert space $d$ from $d^3$ down to $d^2$.
Moreover, the QR decomposition has a lower computational complexity than the
SVD and allows for highly efficient implementations on GPU hardware. In a
benchmark simulation of a global quench in a quantum clock model, we observe a
speedup of up to three orders of magnitude comparing QR and SVD based updates
on an A100 GPU.
