The Ion Storage Group at NIST has developed several generations of optical atomic clocks based on quantum logic spectroscopy of the 1S03P0 transition in 27Al+.  The latest version of this system began operation last year and achieves higher stability, longer continuous run times and lower systematic uncertainty than previous versions.  In this talk I will review the quantum-logic clock effort at NIST and introduce the newest system, which reaches an systematic uncertainty of 5.5×10-19 and an instability averaging as 3.5×10-16/(τ /s)^(1/2).  Further improvement to this instability could be achieved by using differential measurement techniques and by scaling the system to multiple clock ions, including the possibility of measurements with entangled states.