"with a higher quality" is correct and usable in written English.
You can use it when you are making a comparison between two things that differ in their quality. For example, "The new version of this product has been made with a higher quality than its predecessor."
Medical discoveries have enabled the average American to live eighty years or longer, and with a higher quality of life than ever before.
"Employment is associated with a higher quality of life, and encouraging survivors to return to work also benefits aging societies economically".
Fortunately, when turning VHS tapes into DVD's, you can use bit rates in the 3 to 4 Mbps range, because the medium's mediocre video quality won't improve with a higher quality capture.
Although urbanization has traditionally been associated with a higher quality of life for urban as opposed to rural dwellers, a number of ills such as concentrated urban poverty, environmental inequity, and reduced economic opportunity plague new cities in the developing world as well as old postindustrial city centres.
Vines just got bigger with a higher quality video upgrade today.
Reportedly, this tablet will have better specs than the Fire with a higher quality screen and more than likely a more competent computing platform.
The tournament, too, could have done with a higher-quality appetiser.
Set.fm also provides users who want to capture their experiences by phone recordings with a higher-quality file than they could obtain themselves.
If the sound quality of a particular song on a user's hard drive isn't good enough, Apple will be able to replace it with a higher-quality version.
Looking to take on the rental tux market with a higher-quality, lower-priced suit and tie, Black Tux has raised $2.6 million in its first institutional round of funding.
Education focused on promoting healthy breakfast behaviors is an important topic for WIC participants because breakfast eating compared with breakfast skipping has been associated with a higher-quality diet and decreased risk for obesity.
