Yes, the HDMI connectors on your TV are HDMI 1.3 compliant and support CEC features such as One touch play and System standby.
HDMI (High Definition Multimedia Interface) is a digital interface that allows pure HD digital video transmission without the loss of image quality. The integrated control bus allows system control between the TV set and connected devices like a digital set top box.
Using an HDMI cable between your TV and (external) media devices will give you optimum digital video and sound performance.
The picture below shows an HDMI cable: